| 广义离散时变系统的Lyapunov稳定性 |
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| 引用本文： | 程晓亮,张庆灵,苏晓明. 广义离散时变系统的Lyapunov稳定性[J]. 系统工程与电子技术, 2007, 29(8): 1342-1345 |
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| 作者姓名： | 程晓亮 张庆灵 苏晓明 |
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| 作者单位： | 1. 东北大学系统科学研究所,辽宁,沈阳,110004
2. 沈阳工业大学理学院,辽宁,沈阳,110004 |
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| 摘 要： | 对于一类广义离散时变系统,通过Lyapunov方程的建立,给出了系统因果且渐近稳定的充分必要条件。接着利用Lyapunov不等式进一步研究了系统的稳定性问题,同时给出了系统因果且渐近稳定的另一个充分必要条件,该方法使得判断系统的稳定性更为方便。最后,给出了应用上述方法的具体步骤,通过举例说明了所得结果的正确性。
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| 关 键 词： | 广义离散时变系统 稳定性 Lyapunov方程 正则 |
| 文章编号： | 1001-506X(2007)08-1342-04 |
| 修稿时间： | 2006-06-07 |
Lyapunov stability of singular discrete time-varying systems |
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| CHENG Xiao-liang,ZHANG Qing-ling,SU Xiao-ming. Lyapunov stability of singular discrete time-varying systems[J]. System Engineering and Electronics, 2007, 29(8): 1342-1345 |
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| Authors: | CHENG Xiao-liang ZHANG Qing-ling SU Xiao-ming |
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| Abstract: | 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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| Keywords: | singular discrete time-varying systems stability Lyapunov equation regularity |
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