Input-To-State Stability for a Class of Switched Stochastic Nonlinear Systems by an Improved Average Dwell Time Method | Zendy

Rongwei Guo | Zendy; Ping Zhao | Zendy; Chenghui Zhang | Zendy

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Input-To-State Stability for a Class of Switched Stochastic Nonlinear Systems by an Improved Average Dwell Time Method

Author(s) -

Rongwei Guo,

Ping Zhao,

Chenghui Zhang

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/154679

Subject(s) - dwell time , correctness , nonlinear system , control theory (sociology) , stability (learning theory) , state (computer science) , class (philosophy) , property (philosophy) , mathematics , computer science , algorithm , control (management) , artificial intelligence , medicine , clinical psychology , philosophy , physics , epistemology , quantum mechanics , machine learning

This paper investigates the input-to-state stable in the mean (ISSiM) property of the switched stochastic nonlinear (SSN) systems with an improved average dwell time (ADT) method in two cases: (i) all of the constituent subsystems are ISSiM and (ii) parts of the constituent subsystems are ISSiM. First, an improved ADT method for stability of SSN systems is introduced. Then, based on that not only a new ISSiM result for SSN systems whose subsystems are ISSiM is presented, but also a new ISSiM result for such systems in which parts of subsystems are ISSiM is established. In comparison with the existing ones, the main results obtained in this paper have some advantages. Finally, an illustrative example with numerical simulation is verified the correctness and validity of the proposed results.

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