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Exponential quasi‐(Q,S,R)‐dissipativity and practical stability for switched nonlinear systems
Author(s) -
Liu Shuo,
Pang Hongbo
Publication year - 2020
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.2260
Subject(s) - dissipative system , nonlinear system , exponential stability , control theory (sociology) , exponential function , exponential growth , interconnection , mathematics , state (computer science) , stability (learning theory) , property (philosophy) , topology (electrical circuits) , mathematical analysis , computer science , physics , telecommunications , quantum mechanics , combinatorics , philosophy , control (management) , epistemology , algorithm , artificial intelligence , machine learning
In this paper, the problems of exponential quasi‐(Q,S,R)‐dissipativity and practical stability analysis for a switched nonlinear system are addressed. First, the concept of exponential quasi‐(Q,S,R)‐dissipativity for switched nonlinear systems without requiring the exponential quasi‐(Q,S,R)‐dissipativity property of each subsystem is proposed. Then, we show that an exponentially quasi‐(Q,S,R)‐dissipative switched nonlinear system is practically stable. Second, this exponential quasi‐(Q,S,R)‐ dissipativity property for a switched nonlinear system is obtained by the design of a state‐dependent switching law. Third, a composite state‐dependent switching law is designed to render the feedback interconnection of switched nonlinear systems exponentially quasi‐(Q,S,R)‐dissipative. This switching law allows interconnected switched nonlinear systems to switch asynchronously. Finally, the effectiveness of the results is verified by a numerical example.