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Input‐output finite‐time stability of fractional‐order switched singular continuous‐time systems
Author(s) -
Feng Tian,
Wu Baowei,
Wang YueE,
Liu Lili
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2288
Subject(s) - dwell time , control theory (sociology) , mathematics , stability (learning theory) , controller (irrigation) , linear matrix inequality , full state feedback , lyapunov function , state (computer science) , order (exchange) , control (management) , computer science , mathematical optimization , nonlinear system , algorithm , finance , quantum mechanics , artificial intelligence , machine learning , agronomy , economics , biology , medicine , clinical psychology , physics
The input‐output finite‐time stability and stabilization of a class of fractional‐order switched singular continuous‐time systems with order 0< α <1 are studied in this paper. First, based on the average dwell time switching technique, by constructing multiple Lyapunov functions, the sufficient conditions of input‐output finite‐time stability for the considered systems are derived in the form of linear matrix inequalities (LMIs). Second, a suitable LMI‐based state feedback controller is designed. Finally, an illustrative example is presented to show the effectiveness of the proposed technique.