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Input-to-State Stability of Impulsive Switched Systems Involving Uncertain Impulse-Switching MomentsOACSTPCDEI

中文摘要

Dear Editor,This letter studies the input-to-state stability(ISS)for a class of impulsive switched systems,where uncertain impulse-switching moments are involved.The robustness of ISS with respect to the perturbations of the occurrence time of impulse-switching moments is revealed by several less conservative dwell-time conditions for the uncertain impulse-switching moments combined with Lyapunov conditions.Moreover,the Lyapunov conditions have multiple coefficients at discrete time so as to handle the hybrid effect of impulse-switching moments,and the case that time derivative of Lyapunov function is indefinite is also taken into account.Finally,a numerical example is proposed to illustrate the effectiveness of the theoretical results.

Chang Liu;Wenlu Liu;Tengda Wei;Xiaodi Li;

School of Mathematical and Statistics,Shandong Normal University,Jinan 250014,China

计算机与自动化

letterconservativederivative

《IEEE/CAA Journal of Automatica Sinica》 2024 (006)

P.1515-1517 / 3

supported by the National Natural Science Foundation of China(62173215);Major Basic Research Program of the Natural Science Foundation Shandong Province in China(ZR2021ZD04,ZR2020ZD24);the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions(2019KJI008).

10.1109/JAS.2023.124104

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