A Converse Lyapunov-Krasovskii Theorem for the Global Asymptotic Local Exponential Stability of Nonlinear Time-Delay Systems

被引：0
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作者：
机构：
[1] DI Ferdinando, M.
[2] Pepe, P.
[3] Di Gennaro, S.
来源：
DI Ferdinando, M. (mario.diferdinando@univaq.it) | 1600年 / Institute of Electrical and Electronics Engineers Inc.卷 / 05期
基金：
欧盟地平线“2020”;
关键词：
Lyapunov functions - System stability - Nonlinear equations - Time delay - Delay control systems - Differential equations;
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摘要：
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. © 2017 IEEE.
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