Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect

Wu-Hua Chen; Fu Chen; Xiaomei Lu

doi:10.1016/j.nonrwa.2009.12.007

Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect

Wu-Hua Chen
, Fu Chen
, Xiaomei Lu

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter Îµ is derived. Some known results are generalized and improved.

Original language	English
Pages (from-to)	3463-3478
Number of pages	16
Journal	Nonlinear Analysis: Real World Applications
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2009.12.007
Publication status	Published - 2010

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10.1016/j.nonrwa.2009.12.007

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title = "Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect",

abstract = "In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter {\^I}µ is derived. Some known results are generalized and improved.",

author = "Wu-Hua Chen and Fu Chen and Xiaomei Lu",

year = "2010",

doi = "10.1016/j.nonrwa.2009.12.007",

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AU - Chen, Wu-Hua

AU - Chen, Fu

AU - Lu, Xiaomei

PY - 2010

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N2 - In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter Îµ is derived. Some known results are generalized and improved.

AB - In this paper, the exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect is considered. By using the comparison principle and time scale decomposition, a Lyapunov-based sufficient condition for exponential stability in mean square for a sufficiently small singular perturbation parameter Îµ is derived. Some known results are generalized and improved.

UR - http://handle.uws.edu.au:8081/1959.7/534930

U2 - 10.1016/j.nonrwa.2009.12.007

DO - 10.1016/j.nonrwa.2009.12.007

M3 - Article

SN - 1468-1218

VL - 11

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EP - 3478

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 5

ER -

Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect

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