Exponential Stability for Nonlinear Systems with Time Delay on Time Scales via Wirtinger-Based Inequality
作者单位：School of Control Science and EngineeringShandong University School of Mathematics and Quantitative EconomicsShandong University of Finance and Economics
会议名称：《第36届中国控制会议》
会议日期：2017年
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the National Natural Science Foundations of China(61374065,61573215,61503214,6150021593,61374002) the Natural Science Fund for Distinguished Young Scholars of Shandong Province under grant JQ201613
关 键 词：Exponential stability Wirtinger-based inequality Time delay Time scale
摘 要：In this paper, the problem of exponential stability for nonlinear systems with time delay on time scales is *** on the Wirtinger-based inequality on time scales, and the Lyapunov-Krasovskii functional approach, a sufficient criterion for exponential stability for nonlinear time-delay systems on time scales is derived. It is shown that the idea of this paper provides a unified approach to study the exponential stability problems for continuous-time systems and their discrete-time counterparts simultaneously. To illustrate the effectiveness of our result, two simulation examples are given.