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

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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