| 新的离散时变时延系统的稳定性条件 |
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| 引用本文： | 朱训林,李蔚,谢丛波. 新的离散时变时延系统的稳定性条件[J]. 东北师大学报(自然科学版), 2008, 40(3) |
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| 作者姓名： | 朱训林 李蔚 谢丛波 |
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| 作者单位： | 1. 郑州轻工业学院计算机与通信工程学院,河南,郑州,450002
2. 大连民族学院理学院,辽宁,大连,116600 |
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| 摘 要： | 研究了一类离散时变时延系统的稳定性问题.通过定义新的Lyapunov函数并利用离散的Jensen不等式,给出了新的保证系统稳定的线性矩阵不等式条件.相比于已有的结果,这些新的条件涉及的决策变量少,并且算例表明它具有较小的保守性.
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| 关 键 词： | 稳定性 离散时变时延系统 线性矩阵不等式 |
A new stability criterion for discrete systems with time-varying delay |
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| ZHU Xun-lin,LI Wei,XIE Cong-bo. A new stability criterion for discrete systems with time-varying delay[J]. Journal of Northeast Normal University (Natural Science Edition), 2008, 40(3) |
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| Authors: | ZHU Xun-lin LI Wei XIE Cong-bo |
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| Abstract: | In this paper,the problem of delay-dependent stability for discrete-time systems with time-varying delay is studied,new stability criteria are derived based on linear matrix inequality(LMI) by defining a novel Lyapunov functional and using Jensen inequality.The computating complexity of the newly obtained criteria is reduced since fewer decision variables are involved.A numerical example is given to illustrate the effectiveness and less conservatism of the results. |
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| Keywords: | stability discrete-time systems with time-varying delay linear matrix inequality(LMI) |
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