Asymptotic stability of stochastic impulsive system via comparison approach

This paper studies stability of solutions for a class of stochastic impulsive systems. The impulsive stochastic comparison theorem is established using stochastic differential inequalities. By using the comparison theorem, the comparison criterion of asymptotic stability of trivial solution of the s...

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Bibliographic Details
Main Authors: Jing-guang Gao, Fei-qi Deng, Cheng-ke Zhang, You-fa Sun
Format: Conference Proceeding
Language:English
Subjects:
Asia
Asymptotic stability
comparison approach
Control systems
Differential equations
impulsive
Indium tin oxide
Informatics
Lyapunov method
Robotics and automation
Stochastic processes
Stochastic systems
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Description
Summary:This paper studies stability of solutions for a class of stochastic impulsive systems. The impulsive stochastic comparison theorem is established using stochastic differential inequalities. By using the comparison theorem, the comparison criterion of asymptotic stability of trivial solution of the systems is obtained based on vector Lyapunov-like function.
ISSN:1948-3414
1948-3422
DOI:10.1109/CAR.2010.5456572