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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 |