Lur'e dynamical systems with state-dependent set-valued feedback

Using a new implicit discretization scheme, we study in this paper the existence and uniqueness of strong solutions for a class of Lur'e dynamical systems where the set-valued feedback depends on both time and state. This work is a generalization of \cite{abc} where the time-dependent set-value...

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Bibliographic Details
Published inarXiv.org
Main Author Ba Khiet Le
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.03.2019
Subjects
Computer simulation
Discretization
Dynamical systems
Feedback
Time dependence
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Summary:Using a new implicit discretization scheme, we study in this paper the existence and uniqueness of strong solutions for a class of Lur'e dynamical systems where the set-valued feedback depends on both time and state. This work is a generalization of \cite{abc} where the time-dependent set-valued feedback is considered to acquire only weak solutions. Obviously, strong solutions and implicit discretization scheme are nice properties, especially for numerical simulation. We also provide some conditions such that the solutions are exponentially attractive. The obtained results can be used to study the time-varying Lur'e systems with errors in data. Our result is new even the set-valued feedback depends only on the time.
ISSN:2331-8422