Titlebook: Recent Results on Time-Delay Systems; Analysis and Control Emmanuel Witrant,Emilia Fridman,Luc Dugard Book 2016 Springer International Publ

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Stability Analysis of Linear Time-Delay Systems with Two Incommensurate Delaysd used is based on the idea to check positive definiteness of the functionals exclusively on the specific Razumikhin-type set of functions. For the systems with incommensurate delays, it is proposed to use the modified functionals depend on the Lyapunov delay matrix related to a nominal system with

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A Bridge Between Lyapunov-Krasovskii and Spectral Approaches for Difference Equationsare linked with those of discrete-time linear systems. This analysis is carried out via two approaches, namely Lyapunov-Krasovskii techniques and spectral theory. A discussion on robustness issues is made.

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Dynamic Games for Markov Jump Stochastic Delay Systemsblems are considered for systems in which controls-dependent noise is included. Sufficient conditions for the existence of the Nash strategies and the Pareto strategies in terms of matrix inequality are established by using a classical Lyapunov-Krasovskii method and a non-convex optimization approac

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Regional Stabilization of Systems with Input Delay and Actuator Saturation Revisitedr systems with input saturation caused by actuator saturation or by the quantizers with saturation. We show that an additional bound for solutions is needed for the first time-interval of the delay length. This first time-interval does not influence on the stability and the exponential decay rate an

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