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周期切换线性定常系统的镇定
Stabilitation of Periodically Switched Linear Time-Invariant Systems
【摘要】 讨论包含一组线性定常子系统和一个周期切换信号的切换系统的稳定性.利用Floquet定理,给出了周期切换线性定常系统可镇定的充分条件.
【Abstract】 This paper deals with the stability of a class of periodically switched linear time-invariant systems that consists of a set of linear time-invariant subsystems and a periodic switching signal.Based on the Floquet theory, necessary and sufficient conditions are given for stabilization.
【关键词】 指数稳定;
周期线性切换系统;
定常系统;
Floquet定理;
【Key words】 exponential stability; periodically switched linear system; time-invariant system; Floquet theory;
【Key words】 exponential stability; periodically switched linear system; time-invariant system; Floquet theory;
【基金】 国家自然科学基金——数学天元基金(10826078)
- 【文献出处】 河南科学 ,Henan Science , 编辑部邮箱 ,2009年10期
- 【分类号】TP13
- 【被引频次】2
- 【下载频次】67