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Switched Stabilization of Higher-order Switched Linear Systems

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2 Author(s)
Zhendong Sun ; Hamilton Institute, National University of Ireland, Maynooth, Ireland. Email: ; Ge, S.S.

In this paper, we investigate the underlying fundamental relation between switched controllability and switched stabilization for switched linear control systems. It is shown by a counterexample that switched controllability does not imply switched stabilization by means of piecewise linear state feedback controllers. In addition, piecewise linear state feedback stabilizable and controllable switched systems may not be quadratic stabilizable. To illustrate, we take third-order systems as a case study and identify conditions for quadratic stabilizability and non-quadratic stabilizability.

Published in:

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Date of Conference:

12-15 Dec. 2005