ROBUST STABILITY WITH GUARANTEEING COST FOR DISCRETE TIME-DELAY SYSTEMS WITH NONLINEAR PERTURBATION  

作　　者：JIAXinchun ZHENGNanning LIUYuehu 

机构地区：[1]InstituteofArtificialIntelligenceandRobotics,Xi'anJiaotongUniversity,Xi'an710049,China [2]DepartmentofMathematics,ShanxiUniversity,Taiyuan030006,China//InstituteofArtificialIntelligenceandRobotics,Xi'anJiaotongUniversity,Xi'an710049,China

出　　处：《Journal of Systems Science & Complexity》2005年第3期302-308,共7页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China(Grant No. 60024301) Natural Science Fund of Shanxi Province, China(Grant No. 20051032).

摘　　要：The problems of robust stability and robust stability with a guaranteeing cost for discrete time-delay systems with nonlinear perturbation are discussed. A sufficient criterion for robust stability is established in an LMI framework and a linear convex optimization problem with LMI constraints for computing maximal perturbation bound is proposed. Meanwhile, a sufficient criterion for robust stability with a guaranteeing cost for such systems is obtained, and an optimal procedure for decreasing the value of guaranteeing cost is put forward. Two examples are used to illustrate the efficiency of the results.

关 键 词：robust stability discrete time-delay system non-linear perturbation guaranteeing cost LMI approach 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]