Lyapunov stability of singular discrete time-varying systems

被引：0
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作者：
Inst. of System Sciences, Northeastern Univ., Shenyang 110004, China [1 ]
不详 [2 ]
机构：
来源：
Xi Tong Cheng Yu Dian Zi Ji Shu/Syst Eng Electron | 2007年 / 8卷 / 1342-1345期
关键词：
Asymptotic stability - Control system stability - Lyapunov functions;
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摘要：
The necessary and sufficient condition is obtained for causality and asymptotic stability of singular discrete time-varying systems by establishing Lyapunov equation. Following, the stability of the systems is studied via Lyapunov inequality. At the same time, the other necessary and sufficient condition is obtained for causality and asymptotic stability of the systems. This method makes more convenient to prove the stability of systems. Finally the detailed steps of the above method are given and some examples are given to illustrate the correctness of the obtained results.
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