离散系统半稳定性的判定方法  

Criterion of semistability for discrete-time systems

作　　者：曹艳[1] 刘婷婷[1] 吴保卫[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2012年第4期480-484,共5页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10971123);陕西省自然科学基础研究计划项目(SJ08A20)

摘　　要：利用稳定性理论和李亚普诺夫(Lyapunov)相关方法研究离散系统的半稳定性.利用半稳定性谱的定义,依据李亚普诺夫方程及其秩条件,给出了一般离散系统半稳定性的充分条件,并利用类似的方法给出了离散奇异系统半稳定性的定义和充分条件.Using the stability theory and the associated methods of Lyapunov, semistability of discrete- time systems is discussed in this paper. Using the definition of semistability of spectrum, a new suffi- cient condition for semistability of discrete-time systems is proposed based on the Lyapunov equation and a rank condition. Moreover, the definition of semistability and a sufficient condition of discrete-time sin- gular systems is raised by a similar approach.

关 键 词：离散时间 奇异系统 半稳定性 (广义)李亚普诺夫方程 正则的 

分 类 号：O231[理学—运筹学与控制论]