Stability analysis of some classes of nonlinear switched systems with time delay

Alexander Aleksandrov, Elena Aleksandrova and Alexei Zhabko

International Journal of Systems Science, 2017, vol. 48, issue 10, 2111-2119

Abstract: Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.

Date: 2017
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DOI: 10.1080/00207721.2017.1311382

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