Exponential stability of impulsive stochastic functional differential systems with Markovian switching

机译：脉冲随机功能差分系统与马尔维亚斯开关的指数稳定性

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This paper is concerned with the pth moment exponential stability of impulsive stochastic functional differential systems (ISFDSs) with Markovian switching. By using the Lyapunov function method and Razumikhin technique with stochastic version as well as stochastic analysis theory, some new stability criteria of pth moment exponential stability for ISFDSs with Markovian switching are obtained. Main results show that ISFDSs with Markovian switching may be exponentially stabilized by impulses. An example is also discussed to illustrate the efficiency of the results.

机译：本文涉及利用马尔可夫切换的冲动随机功能差分系统（ISFDS）的第PTH MOLLE指数稳定性。通过使用带有随机版的Lyapunov功能方法和Razumikhin技术以及随机分析理论，获得了Marvian切换的ISFDSS的第PTH Mondy指数稳定性的一些新的稳定性标准。主要结果表明，Markovian切换的ISFDS可以通过脉冲指数稳定。还讨论了一个例子以说明结果的效率。

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《Youth Academic Annual Conference of Chinese Association of Automation》|2017年|638p|共5页
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Zheng Wu; Lianglong Wang;
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中图分类 TP2-53;
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Switches; Control theory; Stability criteria; Lyapunov methods; Electronic mail;

机译：交换机;控制理论;稳定标准;Lyapunov方法;电子邮件;

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3. Exponential stability for generalized stochastic impulsive functional differential equations with delayed impulses and Markovian switching [J] . Gao Lijun, Wang Dandan, Zong Guangdeng Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal . 2018,第期

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4. Exponential stability of impulsive stochastic functional differential systems with Markovian switching [C] . Zheng Wu, Lianglong Wang Youth Academic Annual Conference of Chinese Association of Automation . 2017

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Exponential stability of impulsive stochastic functional differential systems with Markovian switching

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