A Converse Lyapunov–Krasovskii Theorem for the Global Asymptotic Local Exponential Stability of Nonlinear Time–Delay Systems
| Autor: | Pierdomenico Pepe, S. Di Gennaro, M. Di Ferdinando |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Current (mathematics) Differential equation 020208 electrical & electronic engineering Lyapunov krasovskii 02 engineering and technology Dissipation converse Lyapunov-Krasovskii theorem global asymptotic local exponential stability Nonlinear time-delay systems Upper and lower bounds Nonlinear Sciences::Chaotic Dynamics Nonlinear system 020901 industrial engineering & automation Exponential stability Computer Science::Systems and Control Control and Systems Engineering Converse 0202 electrical engineering electronic engineering information engineering Applied mathematics Mathematics |
| Zdroj: | IEEE Control Systems Letters |
| ISSN: | 2475-1456 |
| DOI: | 10.1109/lcsys.2020.2999988 |
| Popis: | In this letter, the notion of GALES (Global Asymptotic Local Exponential Stability) is extended to nonlinear systems described by Retarded Functional Differential Equations. Necessary and sufficient Lyapunov-Krasovskii conditions ensuring the GALES of nonlinear time-delay systems are provided. The conditions related to the lower bound and to the dissipation rate of the Lyapunov-Krasovskii functional involve only the current value of the solution, making the provided tool easy to use. An example validating the results is presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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