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Cognitive Computation
Published in: Cognitive Computation 1/2013

01-03-2013

Stochastic Hybrid System with Polynomial Growth Coefficients

Authors: Lizhu Feng, Feng Jiang, Feng Li

Published in: Cognitive Computation | Issue 1/2013

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Abstract

The environmental and telegraph noise may be beneficial in the cognitive systems. In this paper, we will study a class of nonlinear system with Markovian switching, whose coefficients satisfy the one-sided polynomial growth condition and the local Lipschitz condition. This paper shows that the Brownian motion may suppress the potential explosion of the solution of the deterministic nonlinear system under some conditions. Moreover, another Brownian motion may exponentially stabilize the system. Finally, an example is given to illustrate our results.
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Metadata
Title
Stochastic Hybrid System with Polynomial Growth Coefficients
Authors
Lizhu Feng
Feng Jiang
Feng Li
Publication date
01-03-2013
Publisher
Springer-Verlag
Published in
Cognitive Computation / Issue 1/2013
Print ISSN: 1866-9956
Electronic ISSN: 1866-9964
DOI
https://doi.org/10.1007/s12559-012-9149-0

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EditorialNotes

Special Issue Editorial: Computational Intelligence and Applications

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