Stability of switched stochastic nonlinear systems by an improved average dwell time method
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Authors
Rongwei Guo
- School of Science, Qilu University of Technology, Jinan 250353, P. R. China
Yuangong Sun
- School of Mathematical Sciences, University of Jinan, Jinan 250022, P. R. China
Ping Zhao
- School of Electrical Engineering, University of Jinan, Jinan 250022, P. R. China
Abstract
This paper investigates the stability of switched stochastic
continuous-time nonlinear systems in two cases:
(1) all subsystems are global
asymptotically exponentially
stable in the mean (GASiM);
(2) both GASiM subsystems and unstable
subsystems coexist, and proposes a number of new results on the
stability analysis.
Firstly, an improved average dwell time (ADT)
method is established for the stability of switched stochastic
system by extending our previous dwell time method. Especially, an
improved mode-dependent average dwell time (MDADT) method for the
switched stochastic systems whose subsystems are quadratically
stable in the mean is also obtained. Secondly, based on the improved
ADT and MDADT methods, several new results on the stability analysis
are provided. It should be pointed out that the obtained results
have two advantages over the existing results, one is the
conditions of the improved ADT method are simplified, the other is
that the obtained lower bound of ADT \((\tau_a^*)\) is also smaller
than those obtained by other methods. Finally, two illustrative
examples with simulation are given to show the correctness and the
effectiveness of the proposed results.
Share and Cite
ISRP Style
Rongwei Guo, Yuangong Sun, Ping Zhao, Stability of switched stochastic nonlinear systems by an improved average dwell time method, Journal of Mathematics and Computer Science, 18 (2018), no. 1, 37--48
AMA Style
Guo Rongwei, Sun Yuangong, Zhao Ping, Stability of switched stochastic nonlinear systems by an improved average dwell time method. J Math Comput SCI-JM. (2018); 18(1):37--48
Chicago/Turabian Style
Guo, Rongwei, Sun, Yuangong, Zhao, Ping. "Stability of switched stochastic nonlinear systems by an improved average dwell time method." Journal of Mathematics and Computer Science, 18, no. 1 (2018): 37--48
Keywords
- Switched stochastic nonlinear system
- stability in the mean
- unstable subsystems
- average dwell time
- mode-dependent dwell time
MSC
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