| 引用本文： |
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罗世贤,邓飞其,胡志佩,张波.异步马尔科夫切换混杂随机时滞系统的矩稳定与镇定[J].广西科学,2017,24(6):578-587. [点击复制]
- LUO Shixian,DENG Feiqi,HU Zhipei,ZHANG Bo.The Moment Stability and Stabilization of Hybrid Stochastic Retarded Systems under Asynchronous Markovian Switching[J].Guangxi Sciences,2017,24(6):578-587. [点击复制]
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| 摘要: |
| 针对一类具有异步马尔科夫切换的混杂时滞随机系统,研究p-阶矩稳定性与镇定问题。探究马尔科夫切换信号检测时延的大小与马尔科夫链生成元之间的关系,并发展一种不等式处理时变时滞的新型技术,建立了异步马尔科夫切换时滞系统的Lyapunov稳定性判据。然后将该稳定性判据应用于一类马尔科夫跳变时滞系统,给出了时滞无关的稳定性判据和镇定性控制器的设计方案。最后,运用两个数值实例验证本研究方法的有效性。 |
| 关键词: 混杂随机系统 异步切换控制 马尔科夫切换 时滞无关稳定性 |
| DOI：10.13656/j.cnki.gxkx.20171219.007 |
| 投稿时间：2017-11-17 |
| 基金项目:国家自然科学基金项目(61573156,61733008,61503142)和中央高校基本科研资金项目(x2zdD2153620)资助。 |
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| The Moment Stability and Stabilization of Hybrid Stochastic Retarded Systems under Asynchronous Markovian Switching |
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LUO Shixian1, DENG Feiqi1, HU Zhipei1, ZHANG Bo2
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| (1.School of Automation Science and Engineering, South China University of Technology, Guangzhou, Guangdong, 510640, China;2.Guangdong Key Laboratory of IoT Information Technology, School of Automation, Guangdong University of Technology, Guangzhou, Guangdong, 510006, China) |
| Abstract: |
| This paper investigates the pth moment stability and stabilization problems of a class of hybrid stochastic retarded systems under asynchronous Markovian switching.By exploring the relationship between the sizes of Markov switching signal detection time delay and the generator of Markov chain,a novel integral-inequality-estimation technique is developed to deal with time-varying delay.The Lyapunov stability criterion of asynchronous Markov switching time delay system is established. Then the criterion is applied to a class of Markovian jump time-delay systems,and the delay independent stability criterion and the design of stabilization controller are given.Finally,two numerical examples are provided to demonstrate the validity of the developed results. |
| Key words: hybrid stochastic systems asynchronous switching control Markovian switching delay-independent stability |
