| 广义离散时变系统的镇定 |
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| 引用本文： | 程晓亮. 广义离散时变系统的镇定[J]. 鞍山师范学院学报, 2009, 11(2): 7-9 |
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| 作者姓名： | 程晓亮 |
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| 作者单位： | 鞍山师范学院,数学系,辽宁,鞍山,114007 |
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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,基于这一结果,利用对应的Riccati方程进一步研究了系统的能稳定性问题,给出了系统能稳定的充分必要条件.最后,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 Lyapunov方程 正则 能稳定性 |
Stabilization of Varying Systems in Singular Discrete |
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| CHENG Xiao-liang. Stabilization of Varying Systems in Singular Discrete[J]. Journal of Anshan Teachers College, 2009, 11(2): 7-9 |
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| Authors: | CHENG Xiao-liang |
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| Affiliation: | Department of Mathematics;Anshan Normal University;Anshan Liaoning 114007;China |
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| Abstract: | The necessary and sufficient condition is obtained for causality and asymptotic stability of varying systems in singular discrete by establishment of Lyapunov equation.Based on this result,stabilization of system is studied via a Riccati equation corresponding to this Lyapunov equation,and the necessary and sufficient condition is obtained for stabilization of system.Finally some examples are given to illustrate correctness of the obtained results. |
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| Keywords: | Varying systems of singular discrete Lyapunov equation Regularity Stabilization |
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