Switched Convergence of Second-Order Switched Homogeneous Systems | Zendy

Carmen Pérez | Zendy; Francisco Benítez | Zendy

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Switched Convergence of Second-Order Switched Homogeneous Systems

Author(s) -

Carmen Pérez,

Francisco Benítez

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 - 10.1155/2013/472430

Subject(s) - mathematics , homogeneous , convergence (economics) , order (exchange) , control theory (sociology) , computer science , combinatorics , control (management) , finance , artificial intelligence , economics , economic growth

This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results

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