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

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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.

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Authors and Affiliations

  1. Department of Engineering Mathematics, University of Peradeniya, Peradeniya, Sri Lanka

    P. C. Perera

  2. Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas, 79409, USA

    W. P. Dayawansa

Authors
  1. P. C. Perera
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  2. W. P. Dayawansa
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Additional information

This work was partially supported by the National Science Foundation(No. ECS-0220314, ECS-0218245) and the Environmental Protection Agency.

P. C. PERERA received his B.Sc. in Electrical Engineering from University of Peradeniya, Sri Lanka, in 1999, and Ph.D. in Mathematics from Texas Tech University, Lubbock, Texas in 2003. Since then, he has been a senior lecturer at the Faculty of Engineering, University of Peradeniya, Sri Lanka. His research interests include switched control systems, mathematical systems theory and genetic algorithms. He is the secretary of the Central Region subsection of the IEEE, Sir Lanka.

W. P. DAYAWANSA was born in Sri Lanka. He received his B.S. in Electrical Engineering from the University of Peradeniya, Sri Lanka in 1978, M.S. in Electrical Engineering from the Clarkson University in 1982, and S.D. in Systems Science and Mathematics from the Washington University in 1986. He held positions as Assistant Professor in Mathematics at the Texas Tech University (1986–1989), Assistant Professor in Electrical Engineering and the Institute for Systems Research at the University of Maryland, College Park (1989–1992), Associate Professor in Electrical Engineering and the Institute for Systems Research at the University of Maryland, College Park (1992–1996), and Professor of Mathematics at the Texas Tech University (1996–). He is currently a Paul Whitfield Horn Professor in Mathematics at the Texas Tech University. His research interests are primarily in the areas of nonlinear control systems, control aspects of the neuro-muscular system, and control of microelectromechanical systems. He is a Fellow of the IEEE.

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Perera, P.C., Dayawansa, W.P. Approximation of a switched linear system by a nonswitched homogeneous polynomial system. J. Control Theory Appl. 4, 3–10 (2006). https://doi.org/10.1007/s11768-006-5319-5

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  • DOI: https://doi.org/10.1007/s11768-006-5319-5

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