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.File in questo prodotto:
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