Razumikhin Technique and BIBO Stability of Stochastic Delay Systems with Nonlinear Perturbations

Xia Zhou; Shou Ming Zhong; Yun Fei Yao

doi:10.4028/www.scientific.net/AMR.811.613

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 811Razumikhin Technique and BIBO Stability of...

Razumikhin Technique and BIBO Stability of Stochastic Delay Systems with Nonlinear Perturbations

Abstract:

The problem of mean square bounded-input-bounded-output (BIBO) stability for the stochastic delay systems with nonlinear perturbations is investigated in this paper. Using the Razumikhin technique combined with comparison principle, several novel BIBO mean square stability criteria are established. A numerical example is given to illustrate the effectiveness of our result.

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Periodical:

Advanced Materials Research (Volume 811)

Pages:

613-618

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.811.613

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Online since:

September 2013

Authors:

Xia Zhou, Shou Ming Zhong, Yun Fei Yao

Keywords:

Comparison Principle, Mean Square BIBO Stability, Nonlinear Perturbation, Razumikhin Technique, Stochastic Delay Systems

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References

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