标题：Reachable Set Estimation for a Class of Nonlinear Time-Varying Systems
作者：Sun, Yuangong; Meng, Fanwei
作者机构：[Sun, Yuangong] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China.; [Sun, Yuangong] Shandong Univ Sci & Technol, Coll Math & Syst Sc 更多
通讯作者：Sun, YG;Sun, YG
通讯作者地址：[Sun, YG]Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China;[Sun, YG]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, 更多
摘要：This paper studies the problem of reachable set estimation for a class of nonlinear time-varying systems with disturbances. New necessary and (or) sufficient conditions are derived for the existence of a ball such that all the solutions of the system converge asymptotically within it. Explicit estimation on the decay rate is also presented. The method used in this paper is motivated by that for positive systems, which is different from the conventional Lyapunov-Krasovskii functional method. A numerical example is given to illustrate the effectiveness of the obtained result.