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Bisimulation theory for switching linear systems

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3 Author(s)
Pola, G. ; Dept. of Electr. Eng., L''Aquila Univ., Italy ; Van der Schaft, A.J. ; Di Benedetto, M.D.

A general notion of hybrid bisimulation is proposed and related to the notions of algebraic, state-space and input-output equivalences for the class of switching linear systems. An algebraic characterization of hybrid bisimulations and a procedure converging in a finite number of steps to the maximal hybrid bisimulation are derived. Bisimulation-based reduction and simulation-based abstraction are defined and characterized. Connections with observability are investigated.

Published in:

Decision and Control, 2004. CDC. 43rd IEEE Conference on  (Volume:2 )

Date of Conference:

14-17 Dec. 2004