New criteria for stochastic suppression and stabilization of hybrid functional differential systems

Date

2018

Authors

Zhu, S.
Shi, P.
Lim, C.

Editors

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Journal Title

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Journal article

Citation

International Journal of Robust and Nonlinear Control, 2018; 28(13):3946-3958

Statement of Responsibility

Song Zhu, Peng Shi, Cheng‐Chew Lim

Conference Name

DOI

10.1002/rnc.4114

Abstract

This paper establishes new criteria for stochastic suppression and stabilization of hybrid functional differential systems with general one-sided polynomial growth condition. For an unstable nonlinear hybrid functional differential system with general one-sided polynomial growth condition, two independent Brownian noise processes are used to perturb the system into the stochastic hybrid differential system. Theoretical analysis shows that one of the nonlinear diffusion terms may suppress the explosive solution of deterministic system, and the other one can make the perturbed hybrid system almost surely stable with general decay rate.

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Š 2018 John Wiley & Sons, Ltd.

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Published Version

https://doi.org/10.1002/rnc.4114

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Persistent link to this record

http://hdl.handle.net/2440/118473