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摘要: 研究随机时滞系统的时滞相关无源性分析和控制问题. 利用Lyapunov-Krasovskii方法和松弛矩阵方法, 得到时滞相关的无源性条件. 基于该条件设计时滞相关的随机无源控制器. 文中的结果以线性矩阵不等式(Linear matrix inequalities, LMIs)表示, 可以利用标准的凸优化算法进行有效求解. 通过一个数值例子说明本文方法的有效性.Abstract: This paper investigates delay-dependent passive analysis and control for stochastic delay systems. Delay-dependent stochastic passive condition for the stochastic time-delay systems is obtained by employing Lyapunov-Krasovskii approach and slack matrix technique. Based on this condition, a delay-dependent passive controller is presented. The proposed results are formulated in terms of linear matrix inequalities (LMIs), which can be efficiently solved by standard convex optimization algorithms. A numerical example is provided to demonstrate the effectiveness of the method.
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Key words:
- Stochastic delay systems /
- passivity /
- delay-dependent /
- linear matrix inequality (LMI)
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