In this article, we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct and converse Lyapunov-Krasovskii theorems. Thanks to these theorems, a link between the exponential stability of an unforced switching retarded system and the input-to-state stability property is obtained. An example illustrating the applicability of our results is given.

Lyapunov-Krasovskii Characterizations of Stability Notions for Switching Retarded Systems

Pepe P.
2021-01-01

Abstract

In this article, we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct and converse Lyapunov-Krasovskii theorems. Thanks to these theorems, a link between the exponential stability of an unforced switching retarded system and the input-to-state stability property is obtained. An example illustrating the applicability of our results is given.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/155390
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