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Noise-to-State Stability for a Class of Random Systems With State-Dependent Switching

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Indexed by:期刊论文

Date of Publication:2016-10-01

Journal:IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Included Journals:SCIE、EI

Volume:61

Issue:10

Page Number:3164-3170

ISSN No.:0018-9286

Key Words:Noise-to-state stability; random nonlinear systems; random switched systems

Abstract:This note is intended to investigate noise-to-state stability for random nonlinear systems with state-dependent switching. Under some mild and easily verified conditions, the existence of global solution to random switched systems can be proved. Based on a reasonable requirement for the random disturbance, the criteria on noise-to-state stability of random switched systems are presented by the aid of single Lyapunov function technique. The reasonability of the obtained results is illustrated by using a mechanical model in random vibration environment.

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