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		P. C. PERERA,W. P. DAYAWANSA.[en_title][J].Control Theory and Technology,2006,4(1):3~10.[Copy]

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P.C.PERERA,W.P.DAYAWANSA
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Received:September 30, 2005Revised:January 04, 2006

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Approximation of a switched linear system by a nonswitched homogeneous polynomial system

P. C. PERERA , W. P. DAYAWANSA

(Department of Engineering Mathematics, University of Peradeniya, Peradeniya, Sri Lanka; Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 79409, U.S.A.)

Abstract:

It is shown that given a switched linear control system which satisfy the controllability rank condition, it is possible to construct a non-switched homogenous polynomial control system in such a way that the trajectories of the latter may be arbitrarily well approximated norm on finite time intervals.

Key words: Switching systems Approximation of trajectories Homogeneous systems Controllability