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A necessary and sufficient condition for input-output realization of switched affine state space models

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4 Author(s)
Paoletti, S. ; Dipt. di Ing. dell''Inf., Univ. di Siena, Rome, Italy ; Garulli, A. ; Roll, J. ; Vicino, A.

This paper presents a necessary and sufficient condition under which a discrete-time switched affine (SWA) state space model admits equivalent representations in the class of SWA input-output models. In particular, it is shown that observability is not a necessary requirement for input-output realization of SWA models. When an equivalent input-output representation exists, a constructive procedure is presented to derive both its parameters and the switching constraints. Numerical examples illustrate and motivate the presented equivalence result.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008