标题：Exponential Stability of Non-autonomous Systems with Time Delay on Time Scales
作者：Lu Xiaodong; Wang Yuzhen; Zhao Yige
作者机构：[Lu Xiaodong; Wang Yuzhen; Zhao Yige] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：35th Chinese Control Conference (CCC)
会议日期：JUL 27-29, 2016
来源：PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016
关键词：Exponential stability; Uniformly exponential stability; Non-autonomous; system; Time delay; Time scale
摘要：The exponential stability and uniformly exponential stability of the non-autonomous systems with time delay on time scales are studied in this paper. Using the Lyapunov-Krasovskii functional approach and the Riccati technique on time scales, a sufficient condition for the exponential stability of the considered system is derived. Further, by using the Gronwall's Inequality on time scales, a sufficient condition for the uniformly exponential stability of the considered system is also derived. Finally, several examples are given to illustrate our results.