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Construction of Lyapunov functionals for coupled differential and continuous time difference equations.

Abstract : A new stability analysis technique for systems composed of a differential equation coupled with a continuous time difference equation is proposed. It is based on the explicit construction of Lyapunov functionals from the knowledge of Lyapunov functions for subsystems. Robustness results of iISS type are inferred from these functionals.
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Conference papers
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https://hal.inria.fr/hal-00906815
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, November 20, 2013 - 1:21:04 PM
Last modification on : Thursday, July 9, 2020 - 4:08:01 PM

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Frédéric Mazenc, Hiroshi Ito, Pierdomenico Pepe. Construction of Lyapunov functionals for coupled differential and continuous time difference equations.. 52nd IEEE Conference on Decision and Control CDC 2013, Dec 2013, Florence, Italy. pp.2245-2250, ⟨10.1109/CDC.2013.6760215⟩. ⟨hal-00906815⟩

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