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Stability analysis of switched nonlinear delay systems with sampled‐data inputs
Author(s) -
Wang Zhichuang,
Sun Jian,
Chen Guoliang,
Chen Jie
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4653
Subject(s) - dwell time , control theory (sociology) , stability (learning theory) , nonlinear system , mathematics , upper and lower bounds , mode (computer interface) , lyapunov function , computer science , mathematical analysis , control (management) , physics , medicine , clinical psychology , quantum mechanics , artificial intelligence , machine learning , operating system
Summary This study addresses the uniformly globally asymptotically stability (UGAS) problem of switched nonlinear delay systems (SNDSs) with sampled‐data inputs (SDIs). By using multiple Lyapunov functionals (MLFs) method, mode‐dependent average dwell times, and the total activating time length of MLFs, some stability criteria are explicitly obtained for SNDSs with SDIs. Meanwhile, the UGAS property for SNDSs with some or all unstable modes is investigated. For unstable modes and stable modes, we adopt different switching signals. Besides, we establish some sufficient stability conditions in the form of an upper bound on the sum of dwell times and sampling intervals. Simulation examples are adopted to illustrate and verify the effectiveness of our proposed methods.