Free Access
Issue |
ESAIM: COCV
Volume 20, Number 1, January-March 2014
|
|
---|---|---|
Page(s) | 158 - 173 | |
DOI | https://doi.org/10.1051/cocv/2013059 | |
Published online | 23 December 2013 |
- T. Akutsu, M. Hayashida, W. Ching and M. Ng, Control of Boolean networks: hardness results and algorithms for tree structured networks. J. Theor. Biol. 244 (2007) 670–679. [CrossRef] [PubMed] [Google Scholar]
- J. Cao and F. Ren, Exponential stability of discrete-time genetic regulatory networks with delays. IEEE Transactions on Neural Networks 19 (2008) 520–523. [CrossRef] [Google Scholar]
- J. Cao, K. Yuan and H. Li, Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Transactions on Neural Networks 17 (2006) 1646–1651. [CrossRef] [Google Scholar]
- L. Chen and K. Aihara, Stability of genetic regulatory networks with time delay. IEEE Transactions on Circuits and Systems I: Fundamental Theory Appl. 49 (2002) 602–608. [Google Scholar]
- H. Chen and J. Sun, A new approach for global controllability of higher order Boolean control network. Neural Networks 39 (2013) 12–17. [CrossRef] [Google Scholar]
- D. Cheng, Semi-tensor product of matrices and its applicationsa survey. Proc. of ICCM 3 (2007) 641–668. [Google Scholar]
- D. Cheng, Input-state approach to Boolean networks. IEEE Transactions on Neural Networks 20 (2009) 512–521. [CrossRef] [Google Scholar]
- D. Cheng and H. Qi, Controllability and observability of Boolean control networks. Automatica 45 (2009) 1659–1667. [CrossRef] [MathSciNet] [Google Scholar]
- D. Cheng and H. Qi, A linear representation of dynamics of Boolean networks. IEEE Transactions on Automatic Control 55 (2010) 2251–2258. [Google Scholar]
- D. Cheng, Z. Li and H. Qi, Realization of Boolean control networks. Automatica 46 (2010) 62–69. [CrossRef] [MathSciNet] [Google Scholar]
- D. Cheng, H. Qi and Z. Li, Analysis and Control of Boolean Networks: A Semi-tensor Product Approach. Springer Verlag (2011). [Google Scholar]
- C. Chi-Tsong, Linear System Theory and Design (1999). [Google Scholar]
- D. Chyung, On the controllability of linear systems with delay in control. IEEE Transactions on Automatic Control 15 (1970) 255–257. [CrossRef] [Google Scholar]
- C. Cotta, On the evolutionary inference of temporal Boolean networks. Lect. Notes Comput. Sci. (2003) 494–501. [Google Scholar]
- C. Fogelberg and V. Palade, Machine learning and genetic regulatory networks: A review and a roadmap, Foundations of Computational, Intelligence 1 (2009) 3–34. [Google Scholar]
- M. Ghil, I. Zaliapin and B. Coluzzi, Boolean delay equations: A simple way of looking at complex systems. Physica D Nonlinear Phenomena 237 (2008) 2967–2986. [CrossRef] [MathSciNet] [Google Scholar]
- S. Hansen and O. Imanuvilov, Exact controllability of a multilayer rao-nakra plate with clamped boundary conditions. ESAIM: COCV 17 (2011) 1101–1132. [CrossRef] [EDP Sciences] [Google Scholar]
- W. He and J. Cao, Exponential synchronization of hybrid coupled networks with delayed coupling. IEEE Transactions on Neural Networks 21 (2010) 571–583. [CrossRef] [Google Scholar]
- S. Huang and D. Ingber, Shape-dependent control of cell growth, differentiation, and apoptosis: switching between attractors in cell regulatory networks. Experimental Cell Research 261 (2000) 91–103. [CrossRef] [PubMed] [Google Scholar]
- T. Kailath, Linear systems, Vol. 1. Prentice-Hall Englewood Cliffs, NJ (1980). [Google Scholar]
- S. Kauffman, Metabolic stability and epigenesis in randomly constructed genetic nets. J. Theor. Biol. 22 (1969) 437–467. [CrossRef] [PubMed] [Google Scholar]
- S. Kauffman, The origins of order: Self organization and selection in evolution. Oxford University Press, USA (1993). [Google Scholar]
- S. Kauffman, At home in the universe: The search for laws of self-organization and complexity. Oxford University Press, USA (1995). [Google Scholar]
- O. Kavian and O. Traoré, Approximate controllability by birth control for a nonlinear population dynamics model. ESAIM: COCV 17 (2011) 1198–1213. [CrossRef] [EDP Sciences] [Google Scholar]
- K. Kobayashi, J. Imura and K. Hiraishi, Polynomial-time controllability analysis of Boolean networks. Amer. Control Confer. ACC’09. IEEE (2009) 1694–1699. [Google Scholar]
- D. Laschov and M. Margaliot, A maximum principle for single-input Boolean control networks. IEEE Transactions on Automatic Control 56 (2011) 913–917. [CrossRef] [Google Scholar]
- D. Laschov and M. Margaliot, Controllability of Boolean control networks via Perron-Frebenius theory. Automatica 48 (2012) 1218–1223. [CrossRef] [MathSciNet] [Google Scholar]
- D. Laschov and M. Margaliot, A pontryagin maximum principle for multi-input Boolean control networks, Recent Advances in Dynamics and Control of Neural Networks. In press. [Google Scholar]
- X. Li, S. Rao and W. Jiang, et al., Discovery of time-delayed gene regulatory networks based on temporal gene expression profiling. BMC bioinformatics 7 (2006) 26. [CrossRef] [PubMed] [Google Scholar]
- F. Li and J. Sun, Controllability of Boolean control networks with time delays in states. Automatica 47 (2011) 603–607. [CrossRef] [MathSciNet] [Google Scholar]
- F. Li, and J. Sun, Controllability of higher order Boolean control networks. Appl. Math. Comput. 219 (2012) 158–169. [CrossRef] [MathSciNet] [Google Scholar]
- F. Li and J. Sun, Stability and stabilization of Boolean networks with impulsive effects. Systems Control Lett. 61 (2012) 1–5. [CrossRef] [MathSciNet] [Google Scholar]
- F. Li, J. Sun and Q. Wu, Observability of Boolean control networks with state time delays. IEEE Transactions on Neural Networks 22 (2011) 948–954. [CrossRef] [Google Scholar]
- Y. Liu, H. Chen and B. Wu, Controllability of Boolean control networks with impulsive effects and forbidden states. Math. Meth. Appl. Sci. (2013). DOI: 10.1002/mma.2773. [Google Scholar]
- Y. Liu and S. Zhao, Controllability for a class of linear time-varying impulsive systems with time delay in control input. IEEE Transactions on Automatic Control 56 (2011) 395–399. [CrossRef] [Google Scholar]
- J. Lu, D. Ho and J. Kurths, Consensus over directed static networks with arbitrary finite communication delays. Phys. Rev. E 80 (2009) 066121. [CrossRef] [Google Scholar]
- S. Lyu, Combining Boolean method with delay times for determining behaviors of biological networks, in Engrg. Medicine Biology Soc. EMBC 2009., IEEE (2009) 4884–4887. [Google Scholar]
- A. Silvescu, V. Honavar, Temporal Boolean network models of genetic networks and their inference from gene expression time series. Complex Systems 13 (2001) 61–78. [MathSciNet] [Google Scholar]
- G. Tenenbaum and M. Tucsnak, On the null-controllability of diffusion equations. ESAIM: COCV 17 (2011) 1088–1100. [Google Scholar]
- Z. Wang, J. Lam, G. Wei, K. Fraser and X. Liu, Filtering for nonlinear genetic regulatory networks with stochastic disturbances. IEEE Transactions on Automatic Control 53 (2008) 2448–2457. [CrossRef] [Google Scholar]
- G. Xie, L. Wang, Output controllability of switched linear systems. IEEE International Symposium on Intelligent Control (2003) 134–139. [Google Scholar]
- G. Xie, J. Yu and L. Wang, Necessary and sufficient conditions for controllability of switched impulsive control systems with time delay, in 45th IEEE Conference on Decision and Control (2006) 4093–4098. [Google Scholar]
- W. Yu, J. Lu, G. Chen, Z. Duan and Q. Zhou, Estimating uncertain delayed genetic regulatory networks: an adaptive filtering approach. IEEE Transactions on Automatic Control 54 (2009) 892–897. [CrossRef] [Google Scholar]
- Y. Zhao, H. Qi and D. Cheng, Input-state incidence matrix of Boolean control networks and its applications. Systems and Control Lett. 59 (2010) 767–774. [CrossRef] [MathSciNet] [Google Scholar]
- S. Zhao and J. Sun, Controllability and observability for a class of time-varying impulsive systems. Nonlinear Analysis: Real World Appl. 10 (2009) 1370–1380. [CrossRef] [Google Scholar]
- S. Zhao and J. Sun, Controllability and observability for time-varying switched impulsive controlled systems. Internat. J. Robust Nonl. Control 20 (2010) 1313–1325. [Google Scholar]
- S. Zhao and J. Sun, A geometric approach for reachability and observability of linear switched impulsive systems. Nonl. Anal. Theory, Methods Appl. 72 (2010) 4221–4229. [CrossRef] [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.