Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
نویسندگان
چکیده
منابع مشابه
Stability and Stabilization of Impulsive Stochastic Delay Differential Equations
We consider the stability and stabilization of impulsive stochastic delay differential equations ISDDEs . Using the Lyapunov-Razumikhin method, we obtain the sufficient conditions to guarantee the pth moment exponential stability of ISDDEs. Then the almost sure exponential stability is considered and the sufficient conditions of the almost sure exponential stability are obtained. Moreover, the ...
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When an impulsive control is adopted for a stochastic delay difference system SDDS , there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken to make the system stable? Using the Lyapunov-Razumikhin technique, we es...
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This paper investigates impulsive stabilization of stochastic delay differential equations. Both moment and almost sure exponential stability criteria are established using the Lyapunov–Razumikhinmethod. It is shown that an unstable stochastic delay system can be successfully stabilized by impulses. The results can be easily applied to stochastic systems with arbitrarily large delays. An exampl...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2012
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2012/176375