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Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach

Frédéric Mazenc 1 Michael Malisoff 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
Abstract : We provide a framework to prove stability for nonlinear systems that may have delays and discontinuities. Instead of the usual Lyapunov or small gain methods, our trajectory based approach entails verifying certain inequalities along solutions of auxiliary systems. In some cases, we obtain input-to-state stability under uncertainty. Our work applies to time-varying systems with time-varying delay, ODE coupled with difference equations, networked systems, and interconnected and descriptor systems, and so may help overcome the challenges of applying the known methods in applications.
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https://hal.inria.fr/hal-01088225
Contributor : Frederic Mazenc <>
Submitted on : Thursday, November 27, 2014 - 4:46:00 PM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM

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Frédéric Mazenc, Michael Malisoff. Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach. IEEE American Control Conference 2014, Jun 2014, Portland, United States. ⟨10.1109/acc.2014.6858616⟩. ⟨hal-01088225⟩

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