Stability of Stochastic Differential Delay Systems with Delayed Impulses
Copyright policy )Stability of Stochastic Differential Delay Systems with Delayed Impulses
We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on thepth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses. Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. The effectiveness of the proposed results is illustrated by two examples.
- Anhui Polytechnic University China (People's Republic of)
Stability theory of functional-differential equations, QA1-939, Stochastic functional-differential equations, delayed impulses, Functional-differential equations with impulses, Mathematics, Stochastic ordinary differential equations (aspects of stochastic analysis)
Stability theory of functional-differential equations, QA1-939, Stochastic functional-differential equations, delayed impulses, Functional-differential equations with impulses, Mathematics, Stochastic ordinary differential equations (aspects of stochastic analysis)
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