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Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls

Frédéric Mazenc 1, 2 Michael Malisoff 3 Thach Dinh 4
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : We consider continuous time nonlinear time varying systems that are globally asymptotically stabilizable by state feedbacks. We study the stability of these systems in closed loop with controls that are corrupted by both delay and sampling. We establish robustness results through a Lyapunov approach of a new type.
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https://hal.inria.fr/hal-00823918
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Frédéric Mazenc, Michael Malisoff, Thach Dinh. Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls. Automatica, Elsevier, 2013, 49 (6), pp.1925-1931. ⟨10.1016/j.automatica.2013.02.064⟩. ⟨hal-00823918⟩

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