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改进的Markov切换系统区间时滞相关稳定性与H_∞分析
Delay-range-dependent stability and H_∞ analysis for improved Markovian jump systems with interval time-varying delays
【摘要】 为降低系统时滞相关稳定性及性能条件的保守性,构造新的Lyapunov-Krasovskii函数,并引入改进的积分等式方法,以线性矩阵不等式的形式提出具有较小保守性的区间时滞依赖稳定性条件,并给出系统满足性能的充分条件.数值仿真证明了本文方法的有效性。
【Abstract】 To reduce the conservatism of delay-range-dependent stability and H∞ performance criteria,a Lyapunov-Krasovskii function was developed and the improved integral-equality approach was introduced.Then a less conservative delay-range-dependent stability criterion for Markovian jump systems was proposed in terms of linear matrix inequalities,and a sufficient condition was derived from the H∞ performance.Numerical simulations demonstrate the efficiency of the proposed method.
【关键词】 Markov跳跃系统;
时滞相关稳定性;
线性矩阵不等式;
H∞性能;
【Key words】 Markovian jump systems; delay-dependent stability; linear matrix inequalities; H∞ performance;
【Key words】 Markovian jump systems; delay-dependent stability; linear matrix inequalities; H∞ performance;
【基金】 国家自然科学基金资助项目(60504008)
- 【文献出处】 大连海事大学学报 ,Journal of Dalian Maritime University , 编辑部邮箱 ,2009年02期
- 【分类号】TP13
- 【被引频次】3
- 【下载频次】193