| 一类二维Markov跳跃非线性时滞系统的镇定控制 |
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| 引用本文： | 赵平,康宇. 一类二维Markov跳跃非线性时滞系统的镇定控制[J]. 系统科学与数学, 2007, 27(3): 451-463 |
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| 作者姓名： | 赵平 康宇 |
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| 作者单位： | 中国科学院数学与系统科学研究院,北京,100080 |
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| 摘 要： | 研究一类二维Markov跳跃非线性时滞系统的镇定控制问题.给出了Markov跳跃非线性时滞系统解的存在唯一性的一个充分条件,以及系统依概率全局渐近稳定的判别准则.通过构造适当形式的Lyapunov函数,采用积分反推方法给出了一类二维Markov跳跃非线性时滞系统的无记忆状态反馈控制器.证明了在该控制律的作用下,闭环系统平衡点依概率全局渐近稳定.
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| 关 键 词： | 非线性系统 Markov跳跃系统 时滞系统 积分反推方法 镇定控制 |
| 收稿时间： | 2007-04-29 |
| 修稿时间： | 2007-04-29 |
Stabilization Control for a Class of Two-Dimensional MarkovianJumping Nonlinear Systems with Time-Delays |
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| Zhao Ping,Kang Yu. Stabilization Control for a Class of Two-Dimensional MarkovianJumping Nonlinear Systems with Time-Delays[J]. Journal of Systems Science and Mathematical Sciences, 2007, 27(3): 451-463 |
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| Authors: | Zhao Ping Kang Yu |
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| Affiliation: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | In this paper, stabilization control problem for a class of two dimensional Markovian jumping nonlinear systems with time-delays is investigated. Asufficient condition of existence and uniqueness of the solution process to Markovian jumping nonlinear systems is given. And, a criterion for asymptotical stability in probability is obtained. Through properly constructing Lyapunov function and using the backstepping method, a memoryless state-feedback controller is designed. It is shown that the equilibrium of the closed-loop system is globally asymptotically stable in probability. |
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| Keywords: | Nonlinear system markovian jumping system time-delay system backstepping method stabilization control. |
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