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Complete type Lyapunov functionals for integral delay systems with multiple delays
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Necessary Stability Conditions for Integral Delay Systems
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Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input
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ISS with respect to boundary and in-domain disturbances for a coupled beam-string system
Feedback Stabilization of Controlled Dynamical Systems
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Stability of integral delay equations and stabilization of age-structured models
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Stability and Control Design for Time-Varying Systems with Time-Varying Delays using a Trajectory-Based Approach
Frederic Mazenc, Michael Malisoff and Silviu-Iulian Niculescu SIAM Journal on Control and Optimization 55(1) 533 (2017) https://doi.org/10.1137/15M1027838
Predictor Feedback for Delay Systems: Implementations and Approximations
Iasson Karafyllis and Miroslav Krstic Systems & Control: Foundations & Applications, Predictor Feedback for Delay Systems: Implementations and Approximations 1 (2017) https://doi.org/10.1007/978-3-319-42378-4_1
ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
An optimisation approach for stability analysis and controller synthesis of linear hyperbolic systems
Pierre-Olivier Lamare, Antoine Girard and Christophe Prieur ESAIM: Control, Optimisation and Calculus of Variations 22(4) 1236 (2016) https://doi.org/10.1051/cocv/2016038
Approximate and sampled-data predictors for control of nonlinear delay systems
Stability of linear continuous‐time difference equations with distributed delay: Constructive exponential estimates
Sérine Damak, Michael Di Loreto and Sabine Mondié International Journal of Robust and Nonlinear Control 25(17) 3195 (2015) https://doi.org/10.1002/rnc.3249
Numerical Computation of Lyapunov Function for Hyperbolic PDE using LMI Formulation and Polytopic Embeddings**This work has been partially supported by the LabEx PERSYVAL-Lab ANR-11-LABX-0025.