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Stabilization and Controller Design of 2D Discrete Switched Systems with State Delays under Asynchronous Switching
Author(s) -
Shipei Huang,
Zhengrong Xiang,
Hamid Reza Karimi
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/961870
Subject(s) - control theory (sociology) , asynchronous communication , dwell time , mathematics , state (computer science) , bounded function , exponential stability , full state feedback , controller (irrigation) , class (philosophy) , discrete time and continuous time , stability (learning theory) , norm (philosophy) , computer science , control (management) , nonlinear system , algorithm , medicine , computer network , clinical psychology , mathematical analysis , statistics , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , law , political science
This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller design. A numerical example is given to illustrate the effectiveness of the proposed method

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