| 随机Markov跳跃系统有限时间稳定性 |
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| 引用本文： | 周绍伟. 随机Markov跳跃系统有限时间稳定性[J]. 山东大学学报(工学版), 2016, 46(2): 78-84. DOI: 10.6040/j.issn.1672-3961.0.2015.362 |
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| 作者姓名： | 周绍伟 |
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| 作者单位： | 山东科技大学数学与系统科学学院, 山东 青岛 266590 |
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| 基金项目： | 山东省优秀中青年科学家科研奖励基金资助项目(BS2014SF005);山东省博士后创新项目专项资金资助项目(201403009);青岛市博士后应用研究资助项目;山东省高等学校优秀中青年骨干教师国际合作培养计划资助项目 |
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| 摘 要： | 研究了一类随机线性It(^overo)Markov跳跃系统的有限时间稳定性问题。首先,定义了系统的有限时间随机稳定和有限时间有界;其次,给出了系统有限时间随机稳定的充分必要条件,利用线性矩阵不等式技术设计了状态反馈能稳控制器;最后,通过数值例子和系统仿真验证了方法的有效性。
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| 关 键 词： | 有限时间稳定 线性矩阵不等式 随机Markov跳跃系统 有限时间有界 |
| 收稿时间： | 2015-11-09 |
The finite-time stability of stochastic Markov jumping systems |
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| ZHOU Shaowei. The finite-time stability of stochastic Markov jumping systems[J]. Journal of Shandong University of Technology, 2016, 46(2): 78-84. DOI: 10.6040/j.issn.1672-3961.0.2015.362 |
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| Authors: | ZHOU Shaowei |
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| Affiliation: | College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China |
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| Abstract: | The finite-time stability of stochastic linear It(^overo)Markov jumping systems was studied. Firstly, the definitions of finite-time stochastic stability and finite-time boundedness were given. Secondly, the necessary and sufficient condition of finite-time stochastic stability was obtained and the state feedback controller design was realized based on linear matrix inequality method. Finally, the validity was verified by a numerical example and system simulation. |
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| Keywords: | finite-time boundedness linear matrix inequality stochastic Markov jumping systems finite-time stability |
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