ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)

Generalized Lyapunov-Razumikhin method for retarded differential inclusions: Applications to discontinuous neural networks

Lihong Huang, Jianhua Huang and Zuowei Cai
Discrete and Continuous Dynamical Systems - Series B 22 (9) 3591 (2017)
DOI: 10.3934/dcdsb.2017181
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Nonsmooth Barrier Functions With Applications to Multi-Robot Systems

Paul Glotfelter, Jorge Cortes and Magnus Egerstedt
IEEE Control Systems Letters 1 (2) 310 (2017)
DOI: 10.1109/LCSYS.2017.2710943
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Finite-time consensus on strongly convex balls of Riemannian manifolds with switching directed communication topologies

Sheng Chen, Peng Shi, Weigong Zhang and Lindu Zhao
Journal of Mathematical Analysis and Applications 409 (2) 663 (2014)
DOI: 10.1016/j.jmaa.2013.07.062
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Human Brain Networks: Spiking Neuron Models, Multistability, Synchronization, Thermodynamics, Maximum Entropy Production, and Anesthetic Cascade Mechanisms

Wassim Haddad, Qing Hui and James Bailey
Entropy 16 (7) 3939 (2014)
DOI: 10.3390/e16073939
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Finite-time and fixed-time leader-following consensus for multi-agent systems with discontinuous inherent dynamics

Boda Ning, Jiong Jin, Jinchuan Zheng and Zhihong Man
International Journal of Control 91 (6) 1259 (2018)
DOI: 10.1080/00207179.2017.1313453
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Generalized Topology Control for Nonholonomic Teams With Discontinuous Interactions

Ryan K. Williams, Andrea Gasparri, Giovanni Ulivi and Gaurav S. Sukhatme
IEEE Transactions on Robotics 33 (4) 994 (2017)
DOI: 10.1109/TRO.2017.2683518
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A Collective Neurodynamic Approach to Distributed Constrained Optimization

Qingshan Liu, Shaofu Yang and Jun Wang
IEEE Transactions on Neural Networks and Learning Systems 28 (8) 1747 (2017)
DOI: 10.1109/TNNLS.2016.2549566
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Finite-time and fixed-time bipartite consensus of multi-agent systems under a unified discontinuous control protocol

Xiaoyang Liu, Jinde Cao and Chunli Xie
Journal of the Franklin Institute 356 (2) 734 (2019)
DOI: 10.1016/j.jfranklin.2017.10.009
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Polar Opinion Dynamics in Social Networks

Victor Amelkin, Francesco Bullo and Ambuj K. Singh
IEEE Transactions on Automatic Control 62 (11) 5650 (2017)
DOI: 10.1109/TAC.2017.2694341
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Nonlinear Consensus Protocols With Applications to Quantized Communication and Actuation

Jieqiang Wei, Xinlei Yi, Henrik Sandberg and Karl Henrik Johansson
IEEE Transactions on Control of Network Systems 6 (2) 598 (2019)
DOI: 10.1109/TCNS.2018.2860461
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Analysis and Geometry in Control Theory and its Applications

Asen L. Dontchev, Mikhail I. Krastanov and Vladimir M. Veliov
Springer INdAM Series, Analysis and Geometry in Control Theory and its Applications 11 159 (2015)
DOI: 10.1007/978-3-319-06917-3_6
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Finite/Fixed-Time Bipartite Synchronization of Coupled Delayed Neural Networks Under a Unified Discontinuous Controller

Haocong Wu, Xia Wang, Xiaoyang Liu and Jinde Cao
Neural Processing Letters (2020)
DOI: 10.1007/s11063-020-10308-6
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On Convergence for Piecewise Affine Models of Gene Regulatory Networks via a Lyapunov Approach

Mirko Pasquini and David Angeli
IEEE Transactions on Automatic Control 65 (8) 3333 (2020)
DOI: 10.1109/TAC.2019.2945214
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Some results on the Sign recurrent neural network for unconstrained minimization

N.G. Maratos and M.A. Moraitis
Neurocomputing 287 1 (2018)
DOI: 10.1016/j.neucom.2017.09.036
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Digital Current Sensorless Control of Current-Driven Full-Bridge DC/DC Converters

Majid Pahlevani, Suzan Eren, Hamid Pahlevaninezhad, Iman Askarian and Snehal Bagawade
IEEE Transactions on Power Electronics 33 (2) 1797 (2018)
DOI: 10.1109/TPEL.2017.2688479
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Nonsmooth Lyapunov functions and discontinuous Carathéodory systems

Andrea Bacciotti and Francesca Ceragioli
IFAC Proceedings Volumes 37 (13) 841 (2004)
DOI: 10.1016/S1474-6670(17)31330-7
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Distributed Algorithm for Robust Resource Allocation with Polyhedral Uncertain Allocation Parameters

Xianlin Zeng, Peng Yi and Yiguang Hong
Journal of Systems Science and Complexity 31 (1) 103 (2018)
DOI: 10.1007/s11424-018-7145-5
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Generalized Lyapunov approach for functional differential inclusions

Zuowei Cai and Lihong Huang
Automatica 113 108740 (2020)
DOI: 10.1016/j.automatica.2019.108740
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Max–min Lyapunov functions for switched systems and related differential inclusions

Matteo Della Rossa, Aneel Tanwani and Luca Zaccarian
Automatica 120 109123 (2020)
DOI: 10.1016/j.automatica.2020.109123
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Trajectory Convergence From Coordinate-Wise Decrease of Quadratic Energy Functions, and Applications to Platoons

Julien M. Hendrickx, Balazs Gerencser and Baris Fidan
IEEE Control Systems Letters 4 (1) 151 (2020)
DOI: 10.1109/LCSYS.2019.2922607
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Finite-Time Consensus of Opinion Dynamics and its Applications to Distributed Optimization Over Digraph

Xinli Shi, Jinde Cao, Guanghui Wen and Matjaz Perc
IEEE Transactions on Cybernetics 49 (10) 3767 (2019)
DOI: 10.1109/TCYB.2018.2850765
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A set-valued nested sliding-mode controller

Félix A. Miranda-Villatoro, Fernando Castaños and Bernard Brogliato
IFAC-PapersOnLine 50 (1) 2971 (2017)
DOI: 10.1016/j.ifacol.2017.08.662
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Cooperative Coordination and Formation Control for Multi-agent Systems

Zhiyong Sun
Springer Theses, Cooperative Coordination and Formation Control for Multi-agent Systems 101 (2018)
DOI: 10.1007/978-3-319-74265-6_7
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The Interconnection of Quadratic Droop Voltage Controllers Is a Lotka-Volterra System: Implications for Stability Analysis

Matin Jafarian, Henrik Sandberg and Karl H. Johansson
IEEE Control Systems Letters 2 (2) 218 (2018)
DOI: 10.1109/LCSYS.2018.2802647
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Collective behavior of mobile agents with state-dependent interactions

Shanying Zhu, Lihua Xie, Cailian Chen and Xinping Guan
Automatica 51 394 (2015)
DOI: 10.1016/j.automatica.2014.10.064
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Finite/fixed-time consensus of nonlinear multi-agent systems against actuator faults and disturbances

Yanhui Yin, Fuyong Wang, Zhongxin Liu and Zengqiang Chen
Transactions of the Institute of Measurement and Control 014233122094935 (2020)
DOI: 10.1177/0142331220949354
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Nonlinear consensus protocols with applications to quantized systems * *This work was supported by the Knut and Alice Wallenberg Foundation, the Swedish Foundation for Strategic Research, and the Swedish Research Council.

Jieqiang Wei, Xinlei Yi, Henrik Sandberg and Karl Henrik Johansson
IFAC-PapersOnLine 50 (1) 15440 (2017)
DOI: 10.1016/j.ifacol.2017.08.1877
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Stability Criterion for Nonsmooth Systems and Nash Equilibrium Seeking via Projected Gradient Dynamics * *This work was supported by Beijing Natural Science Foundation (4152057), NSFC (61333001), Program 973 (2014CB845301/2/3), and the China Postdoctoral Science Foundation (No.2016M591272).

Shu Liang, Xianlin Zeng and Yiguang Hong
IFAC-PapersOnLine 50 (1) 6134 (2017)
DOI: 10.1016/j.ifacol.2017.08.2023
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Continuous and discrete-time stability of a robust set-valued nested controller

Félix Alfredo Miranda-Villatoro, Fernando Castaños and Bernard Brogliato
Automatica 107 406 (2019)
DOI: 10.1016/j.automatica.2019.06.003
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Distributed Optimization of Multiagent Systems With Preserved Network Connectivity

IEEE Transactions on Cybernetics 1 (2018)
DOI: 10.1109/TCYB.2018.2856508
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Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks

Cheng Hu, Juan Yu, Zhanheng Chen, Haijun Jiang and Tingwen Huang
Neural Networks 89 74 (2017)
DOI: 10.1016/j.neunet.2017.02.001
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Robust finite-time and fixed-time bipartite consensus problems for multi-agent systems via discontinuous protocol

Wanli Guo, Wennuo He, Wen Sun and Xiaoqing Lu
International Journal of Control 1 (2020)
DOI: 10.1080/00207179.2020.1797177
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Time-varying continuous-time optimisation with pre-defined finite-time stability

Orlando Romero and Mouhacine Benosman
International Journal of Control 1 (2020)
DOI: 10.1080/00207179.2020.1756415
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Robust synchronisation control of discontinuous CGNNs with time-varying delays

Fanchao Kong, Quanxin Zhu and Rajan Rakkiyappan
International Journal of Control 1 (2019)
DOI: 10.1080/00207179.2019.1684566
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LaSalle-Yoshizawa Corollaries for Nonsmooth Systems

Nicholas Fischer, Rushikesh Kamalapurkar and Warren E. Dixon
IEEE Transactions on Automatic Control 58 (9) 2333 (2013)
DOI: 10.1109/TAC.2013.2246900
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Stability in the continuous case

A. Bacciotti
Journal of Mathematical Analysis and Applications 270 (2) 488 (2002)
DOI: 10.1016/S0022-247X(02)00082-3
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Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

Ricardo G. Sanfelice, Rafal Goebel and Andrew R. Teel
IEEE Transactions on Automatic Control 52 (12) 2282 (2007)
DOI: 10.1109/TAC.2007.910684
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Global dynamics of an SEIR epidemic model with discontinuous treatment

Tailei Zhang, Ruini Kang, Kai Wang and Junli Liu
Advances in Difference Equations 2015 (1) (2015)
DOI: 10.1186/s13662-015-0695-0
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Finite-Time Rendezvous Algorithms for Mobile Autonomous Agents

Qing Hui
IEEE Transactions on Automatic Control 56 (1) 207 (2011)
DOI: 10.1109/TAC.2010.2086550
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Control of a Group of Mobile Robots Based on Formation Abstraction and Decentralized Locational Optimization

Kazuya Yoshida, Hiroaki Fukushima, Kazuyuki Kon and Fumitoshi Matsuno
IEEE Transactions on Robotics 30 (3) 550 (2014)
DOI: 10.1109/TRO.2013.2293836
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Stability properties of equilibrium sets of non-linear mechanical systems with dry friction and impact

R. I. Leine and N. van de Wouw
Nonlinear Dynamics 51 (4) 551 (2008)
DOI: 10.1007/s11071-007-9244-z
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On stability of discontinuous systems via vector Lyapunov functions

Xiao-wu Mu, Gui-fang Cheng and Zhi-shuai Ding
Applied Mathematics and Mechanics 28 (12) 1613 (2007)
DOI: 10.1007/s10483-007-1208-x
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Stationary Set Analysis for PD Controlled Mechanical Systems

Kai Zheng, Tielong Shen and Yu Yao
IEEE Transactions on Control Systems Technology 19 (5) 1236 (2011)
DOI: 10.1109/TCST.2010.2070067
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Quantized average consensus: Discontinuities and hysteresis

Francesca Ceragioli, Claudio De Persis and Paolo Frasca
IFAC Proceedings Volumes 43 (14) 78 (2010)
DOI: 10.3182/20100901-3-IT-2016.00068
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Convergence and synchronization in heterogeneous networks of smooth and piecewise smooth systems

Pietro DeLellis, Mario di Bernardo and Davide Liuzza
Automatica 56 1 (2015)
DOI: 10.1016/j.automatica.2015.03.003
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A Generalized Hopfield Network for Nonsmooth Constrained Convex Optimization: Lie Derivative Approach

Chaojie Li, Xinghuo Yu, Tingwen Huang, Guo Chen and Xing He
IEEE Transactions on Neural Networks and Learning Systems 27 (2) 308 (2016)
DOI: 10.1109/TNNLS.2015.2496658
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Formation control using binary information

Matin Jafarian and Claudio De Persis
Automatica 53 125 (2015)
DOI: 10.1016/j.automatica.2014.12.016
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Finite-time synchronization of Kuramoto-type oscillators

Jiu-Gang Dong and Xiaoping Xue
Nonlinear Analysis: Real World Applications 26 133 (2015)
DOI: 10.1016/j.nonrwa.2015.05.006
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Continuous and discontinuous opinion dynamics with bounded confidence

Francesca Ceragioli and Paolo Frasca
Nonlinear Analysis: Real World Applications 13 (3) 1239 (2012)
DOI: 10.1016/j.nonrwa.2011.10.002
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The equilibrium stability for a smooth and discontinuous oscillator with dry friction

Zhi-Xin Li, Qing-Jie Cao and Alain Léger
Acta Mechanica Sinica 32 (2) 309 (2016)
DOI: 10.1007/s10409-015-0481-y
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Semistability, Finite-Time Stability, Differential Inclusions, and Discontinuous Dynamical Systems Having a Continuum of Equilibria

Qing Hui, W.M. Haddad and S.P. Bhat
IEEE Transactions on Automatic Control 54 (10) 2465 (2009)
DOI: 10.1109/TAC.2009.2029397
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Dissipativity theory for discontinuous dynamical systems: Basic input, state, and output properties, and finite-time stability of feedback interconnections

Wassim M. Haddad and Qing Hui
Nonlinear Analysis: Hybrid Systems 3 (4) 551 (2009)
DOI: 10.1016/j.nahs.2009.04.006
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Finite-Time Consensus of Multiagent Systems With a Switching Protocol

Xiaoyang Liu, James Lam, Wenwu Yu and Guanrong Chen
IEEE Transactions on Neural Networks and Learning Systems 27 (4) 853 (2016)
DOI: 10.1109/TNNLS.2015.2425933
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Equilibrium, pseudoequilibrium and sliding-mode heteroclinic orbit in a Filippov-type plant disease model

Jiafu Wang, Fengqin Zhang and Lin Wang
Nonlinear Analysis: Real World Applications 31 308 (2016)
DOI: 10.1016/j.nonrwa.2016.01.017
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On the Rendezvous problem for Groups of Car-like Mobile Robots

Martin Hess and Klaus Schilling
IFAC Proceedings Volumes 42 (22) 50 (2009)
DOI: 10.3182/20091006-3-US-4006.00009
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Maximizing Visibility in Nonconvex Polygons: Nonsmooth Analysis and Gradient Algorithm Design

Anurag Ganguli, Jorge Cortés and Francesco Bullo
SIAM Journal on Control and Optimization 45 (5) 1657 (2006)
DOI: 10.1137/050621918
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Optimal Regulation and Discontinuous Stabilization

Andrea Bacciotti and Francesca Ceragioli
IFAC Proceedings Volumes 34 (6) 39 (2001)
DOI: 10.1016/S1474-6670(17)35145-5
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Analysis of a synthetic gene switching motif: Systems and control approaches

Kwang-Ki K. Kim, Kim Seng Cheong, Kejia Chen and Richard D. Braatz
Journal of Process Control 24 (2) 341 (2014)
DOI: 10.1016/j.jprocont.2013.12.004
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Stability Theorems for Delay Differential Inclusions

Kun-Zhi Liu, Xi-Ming Sun, Jun Liu and Andrew R. Teel
IEEE Transactions on Automatic Control 61 (10) 3215 (2016)
DOI: 10.1109/TAC.2015.2507782
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Finite-time stabilisation of cyclic formations using bearing-only measurements

Shiyu Zhao, Feng Lin, Kemao Peng, Ben M. Chen and Tong H. Lee
International Journal of Control 87 (4) 715 (2014)
DOI: 10.1080/00207179.2013.854439
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Lyapunov function design for finite-time convergence analysis: “Twisting” controller for second-order sliding mode realization

Andrei Polyakov and Alex Poznyak
Automatica 45 (2) 444 (2009)
DOI: 10.1016/j.automatica.2008.07.013
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Well-Posedness, Robustness, and Stability Analysis of a Set-Valued Controller for Lagrangian Systems

Samir Adly, Bernard Brogliato and Ba Khiet Le
SIAM Journal on Control and Optimization 51 (2) 1592 (2013)
DOI: 10.1137/120872450
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Closed loop stabilization of planar bilinear switched systems

A. Bacciotti and F. Ceragioli
International Journal of Control 79 (1) 14 (2006)
DOI: 10.1080/00207170500428885
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Robust consensus of unicycles using ternary and hybrid controllers

Matin Jafarian
International Journal of Robust and Nonlinear Control (2017)
DOI: 10.1002/rnc.3784
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Discontinuities and hysteresis in quantized average consensus

Francesca Ceragioli, Claudio De Persis and Paolo Frasca
Automatica 47 (9) 1916 (2011)
DOI: 10.1016/j.automatica.2011.06.020
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Stability Analysis of Retarded Differential Inclusions

Jiafu Wang and Gui Zhang
Journal of Applied Mathematics 2014 1 (2014)
DOI: 10.1155/2014/832187
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Notes on averaging over acyclic digraphs and discrete coverage control

Chunkai Gao, Jorge Cortés and Francesco Bullo
Automatica 44 (8) 2120 (2008)
DOI: 10.1016/j.automatica.2007.12.017
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Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs

Bahman Gharesifard and Jorge Cortes
IEEE Transactions on Automatic Control 59 (3) 781 (2014)
DOI: 10.1109/TAC.2013.2278132
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Stable Swarming by Mutual Interactions of Attraction/Alignment/Repulsion: Fixed Topology

Xiaohai Li, Zhijun Cai and Jizhong Xiao
IFAC Proceedings Volumes 41 (2) 5143 (2008)
DOI: 10.3182/20080706-5-KR-1001.00864
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Multistability, bifurcations, and biological neural networks: A synaptic drive firing model for cerebral cortex transition in the induction of general anesthesia

Qing Hui, Wassim M. Haddad and James M. Bailey
Nonlinear Analysis: Hybrid Systems 5 (3) 554 (2011)
DOI: 10.1016/j.nahs.2010.12.002
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Nonsmooth Coordination and Geometric Optimization via Distributed Dynamical Systems

Jorge Cortés and Francesco Bullo
SIAM Review 51 (1) 163 (2009)
DOI: 10.1137/080737551
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Distributed nonlinear control algorithms for network consensus

Qing Hui and Wassim M. Haddad
Automatica 44 (9) 2375 (2008)
DOI: 10.1016/j.automatica.2008.01.011
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Coordination of Passive Systems under Quantized Measurements

Claudio De Persis and Bayu Jayawardhana
SIAM Journal on Control and Optimization 50 (6) 3155 (2012)
DOI: 10.1137/110844994
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Continuous-time Discontinuous Equations in Bounded Confidence Opinion Dynamics

Francesca Ceragioli and Paolo Frasca
IFAC Proceedings Volumes 44 (1) 1986 (2011)
DOI: 10.3182/20110828-6-IT-1002.02106
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Invariance Principles for Switched Systems with Restrictions

J. L. Mancilla-Aguilar and R. A. García
SIAM Journal on Control and Optimization 49 (4) 1544 (2011)
DOI: 10.1137/090776871
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Discontinuous stabilization of nonlinear systems: Quantized and switching controls

Francesca Ceragioli and Claudio De Persis
Systems & Control Letters 56 (7-8) 461 (2007)
DOI: 10.1016/j.sysconle.2007.01.001
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A One-Layer Recurrent Neural Network for Pseudoconvex Optimization Subject to Linear Equality Constraints

Zhishan Guo, Qingshan Liu and Jun Wang
IEEE Transactions on Neural Networks 22 (12) 1892 (2011)
DOI: 10.1109/TNN.2011.2169682
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Distributed Control for Satellite Cluster Flight Under Different Communication Topologies

Hao Zhang and Pini Gurfil
Journal of Guidance, Control, and Dynamics 39 (3) 617 (2016)
DOI: 10.2514/1.G001355
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Dissipative differential inclusions, set-valued energy storage and supply rate maps, and stability of discontinuous feedback systems

Wassim M. Haddad and Teymur Sadikhov
Nonlinear Analysis: Hybrid Systems 8 83 (2013)
DOI: 10.1016/j.nahs.2012.11.002
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Periodic dynamics of delayed Lotka–Volterra competition systems with discontinuous harvesting policies via differential inclusions

Zuowei Cai and Lihong Huang
Chaos, Solitons & Fractals 54 39 (2013)
DOI: 10.1016/j.chaos.2013.05.005
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Finite-time distributed consensus via binary control protocols

Gang Chen, Frank L. Lewis and Lihua Xie
Automatica 47 (9) 1962 (2011)
DOI: 10.1016/j.automatica.2011.05.013
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Impact of discontinuous treatments on disease dynamics in an SIR epidemic model

Xingfu Zou, Lihong Huang and Zhenyuan Guo
Mathematical Biosciences and Engineering 9 (1) 97 (2011)
DOI: 10.3934/mbe.2012.9.97
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Finite-time consensus in directed switching network topologies and time-delayed communications

H. Sayyaadi and M.R. Doostmohammadian
Scientia Iranica 18 (1) 75 (2011)
DOI: 10.1016/j.scient.2011.03.010
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Finite-time convergent gradient flows with applications to network consensus

Jorge Cortés
Automatica 42 (11) 1993 (2006)
DOI: 10.1016/j.automatica.2006.06.015
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On the Equivalence Between Dissipativity and Optimality of Discontinuous Nonlinear Regulators for Filippov Dynamical Systems

Teymur Sadikhov and Wassim M. Haddad
IEEE Transactions on Automatic Control 59 (2) 423 (2014)
DOI: 10.1109/TAC.2013.2283111
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Distributed algorithms for reaching consensus on general functions

Jorge Cortés
Automatica 44 (3) 726 (2008)
DOI: 10.1016/j.automatica.2007.07.022
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Motion Coordination with Distributed Information

Sonia Martinez, Jorge Cortes and Francesco Bullo
IEEE Control Systems Magazine 27 (4) 75 (2007)
DOI: 10.1109/MCS.2007.384124
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An Integral Invariance Principle for Switched Linear Systems

Xiang-Ze LIN and Yun ZOU
Acta Automatica Sinica 37 (2) 196 (2011)
DOI: 10.3724/SP.J.1004.2011.00196
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Nonpathological Lyapunov functions and discontinuous Carathéodory systems

Andrea Bacciotti and Francesca Ceragioli
Automatica 42 (3) 453 (2006)
DOI: 10.1016/j.automatica.2005.10.014
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Phase-Lead Stabilization of Force-Projecting Master-Slave Systems With a New Sliding Mode Filter

Ryo Kikuuwe, Katsuya Kanaoka, Tomohiro Kumon and Motoji Yamamoto
IEEE Transactions on Control Systems Technology 23 (6) 2182 (2015)
DOI: 10.1109/TCST.2015.2404893
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On the uniqueness of solutions to a class of discontinuous dynamical systems

Marius-F. Danca
Nonlinear Analysis: Real World Applications 11 (3) 1402 (2010)
DOI: 10.1016/j.nonrwa.2009.02.024
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Lyapunov Method and Convergence of the Full-Range Model of CNNs

M. Di Marco, M. Forti, M. Grazzini, P. Nistri and L. Pancioni
IEEE Transactions on Circuits and Systems I: Regular Papers 55 (11) 3528 (2008)
DOI: 10.1109/TCSI.2008.925820
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Extended LaSalle's Invariance Principle for Full-Range Cellular Neural Networks

Mauro Di Marco, Mauro Forti, Massimo Grazzini and Luca Pancioni
EURASIP Journal on Advances in Signal Processing 2009 1 (2009)
DOI: 10.1155/2009/730968
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Energy Equipartition Stabilization and Cascading Resilience Optimization for Geospatially Distributed Cyber-Physical Network Systems

Xianlin Zeng, Zhenyi Liu and Qing Hui
IEEE Transactions on Systems, Man, and Cybernetics: Systems 45 (1) 25 (2015)
DOI: 10.1109/TSMC.2014.2320877
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Quantised near-consensus via quantised communication links

Qing Hui
International Journal of Control 84 (5) 931 (2011)
DOI: 10.1080/00207179.2011.583684
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Discontinuous dynamical systems

Jorge Cortes
IEEE Control Systems Magazine 28 (3) 36 (2008)
DOI: 10.1109/MCS.2008.919306
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Uniform invariance principle of discontinuous systems with parameter variation

Ju-mei Wei, Rui Ma and Xiao-wu Mu
Acta Mathematicae Applicatae Sinica, English Series 29 (4) 717 (2013)
DOI: 10.1007/s10255-013-0249-8
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Stabilization by means of state space depending switching rules

A. Bacciotti
Systems & Control Letters 53 (3-4) 195 (2004)
DOI: 10.1016/j.sysconle.2004.04.005
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An invariance principle for nonlinear switched systems

A. Bacciotti and L. Mazzi
Systems & Control Letters 54 (11) 1109 (2005)
DOI: 10.1016/j.sysconle.2005.04.003
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Energy-Event-Triggered Hybrid Supervisory Control for Cyber-Physical Network Systems

Xianlin Zeng and Qing Hui
IEEE Transactions on Automatic Control 60 (11) 3083 (2015)
DOI: 10.1109/TAC.2015.2409900
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Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions

S. Adly, A. Hantoute and M. Théra
Nonlinear Analysis: Theory, Methods & Applications 75 (3) 985 (2012)
DOI: 10.1016/j.na.2010.11.009
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Linear programming based Lyapunov function computation for differential inclusions

Sigurđur Freyr Hafstein, Lars Grüne and Robert Baier
Discrete and Continuous Dynamical Systems - Series B 17 (1) 33 (2011)
DOI: 10.3934/dcdsb.2012.17.33
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Finite-time semistability, Filippov systems, and consensus protocols for nonlinear dynamical networks with switching topologies

Qing Hui, Wassim M. Haddad and Sanjay P. Bhat
Nonlinear Analysis: Hybrid Systems 4 (3) 557 (2010)
DOI: 10.1016/j.nahs.2010.03.002
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Self-Triggered Best-Response Dynamics for Continuous Games

Andres Cortes and Sonia Martinez
IEEE Transactions on Automatic Control 60 (4) 1115 (2015)
DOI: 10.1109/TAC.2014.2344292
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Feedback Stabilization of Controlled Dynamical Systems

Andrew R. Teel
Lecture Notes in Control and Information Sciences, Feedback Stabilization of Controlled Dynamical Systems 473 329 (2017)
DOI: 10.1007/978-3-319-51298-3_13
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Coordination and Geometric Optimization via Distributed Dynamical Systems

Jorge Cortés and Francesco Bullo
SIAM Journal on Control and Optimization 44 (5) 1543 (2005)
DOI: 10.1137/S0363012903428652
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Uniformly ultimate boundedness for discontinuous systems with time-delay

Xiao-wu Mu, Zhi-shuai Ding and Gui-fang Cheng
Applied Mathematics and Mechanics 32 (9) 1187 (2011)
DOI: 10.1007/s10483-011-1492-9
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Ditherless Extremum Seeking for Hydrogen Minimization in PEM Fuel Cells

Fernando Castanos and Cristian Kunusch
IEEE Transactions on Industrial Electronics 62 (8) 5218 (2015)
DOI: 10.1109/TIE.2015.2426143
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Generalized Lyapunov method for discontinuous systems

Zhenyuan Guo and Lihong Huang
Nonlinear Analysis: Theory, Methods & Applications 71 (7-8) 3083 (2009)
DOI: 10.1016/j.na.2009.01.220
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ADAPTIVE CONTROL DESIGN FOR NONSMOOTH SYSTEMS WITH UNCERTAINTY

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