This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirti...This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirtinger integral inequality and Leibniz-Newton formula, the stability results of nonlinear delayed switched systems whose nonlinear terms satisfy Lipschitz condition under the designed state-dependent switching rule are established for different assumptions on time delay. Moreover,some new stability results for linear delayed switched systems are also presented. The effectiveness of the proposed results is validated by three typical numerical examples.展开更多
基金supported by the National Natural Science Foundation of China(61503052,61503050,61603065)the Scientific and Technological Research Program of Chongqing Municipal Education Commission(KJQN201801120,KJQN201801104,KJ1709206)+1 种基金the Opening Foundation of Hubei Key Laboratory of Applied Mathematics(Hubei University)(HBAM201805)Chongqing Science and Technology Commission Technology Innovation and Application Demonstration(Social Livelihood General)Project(cstc2018jscx-msyb X0049)。
文摘This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirtinger integral inequality and Leibniz-Newton formula, the stability results of nonlinear delayed switched systems whose nonlinear terms satisfy Lipschitz condition under the designed state-dependent switching rule are established for different assumptions on time delay. Moreover,some new stability results for linear delayed switched systems are also presented. The effectiveness of the proposed results is validated by three typical numerical examples.
