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

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-10-01

Journal: IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Included Journals: EI、SCIE

Volume: 61

Issue: 10

Page Number: 3164-3170

ISSN: 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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