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On practical fixed‐time stability of discrete‐time impulsive switched nonlinear systems
Author(s) -
Chen Guopei,
Yang Ying,
Deng Feiqi
Publication year - 2020
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.5216
Subject(s) - dwell time , nonlinear system , lyapunov function , control theory (sociology) , stability (learning theory) , mathematics , discrete time and continuous time , function (biology) , computer science , control (management) , physics , medicine , clinical psychology , statistics , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , biology
Summary In this note, the practical fixed‐time stability (PFTS) for discrete‐time impulsive switched nonlinear (DISN) systems is investigated. Firstly, the concept of PFTS is introduced for discrete‐time nonlinear (DN) systems, and two sufficient conditions are proposed to verify the PFTS of DN systems by using the positive‐order Lyapunov function. Then, the obtained results are extended to study the PFTS of DISN systems, two stability conditions are given by combining range dwell time and multiple positive‐order Lyapunov functions. Finally, some further discussions on the relaxation of stability conditions are also provided. Two numerical examples are given to illustrate the theoretical results.