New ellipsoidal bound of reachable set for linear neutral systems with time-varying discrete delays

摘要：

In this paper, we consider the problem of finding an ellipsoidal bound of reachable sets for neutral systems with bounded peak disturbances. Based on the modified augmented Lyapunov-Krasovskii type functional, we obtain a delay-dependent result expressed in the form of matrix inequalities containing only one non-convex scalar. Furthermore, a descriptor model transformation and the decomposition technique of discrete delay term matrix are used to obtain a “smaller ellipsoidal bound of reachable sets. An example is given to indicate significant improvements over some existing results.

关键词： reachable set ellipsoidal bound linear neutral system Lyapunov-Krasovskii Linear matrix inequalities

作者: Chang-chun Shen Shou-ming Zhong

作者单位: School of Mathematics and Science,University Electronic Science and Technology of China,Chengdu 6117 School of Mathematics and Science,University Electronic Science and Technology of China,Chengdu 6117

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 575-581

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）