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Stability of Nonlinear Switched Systems on Non-uniform Time Domains with Application to Multi-Agents Consensus

Abstract : A recent development in Lyapunov stability theory allows for analysis of switched systems evolving on nonuniform time domains, called Time Scales. We will present new sufficient conditions to guarantee the stability of a special class of switched systems, between continuous-time subsystems (on intervals with variable lengths) and discrete-time subsystems (with variable discrete-step sizes). By introducing the time scales theory, the conditions are derived using the concept of Time Scale Multiple Lyapunov Functions (TSMLF). The results are applied in the problem of consensus for multi-agent systems with intermittent information transmission
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https://hal-uphf.archives-ouvertes.fr/hal-03698182
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Submitted on : Friday, June 17, 2022 - 4:41:44 PM
Last modification on : Saturday, June 18, 2022 - 4:06:31 AM

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Fatima Zohra Taousser, Seddik M Djouadi, Kevin Tomsovic, Mohamed Djemai. Stability of Nonlinear Switched Systems on Non-uniform Time Domains with Application to Multi-Agents Consensus. 2020 American Control Conference (ACC), Jul 2020, Denver, Colorado, United States. pp.2864-2869, ⟨10.23919/ACC45564.2020.9147620⟩. ⟨hal-03698182⟩

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