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On the representation of switched systems with inputs by perturbed control systems

✍ Scribed by J.L. Mancilla-Aguilar; R. García; E. Sontag; Y. Wang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
407 KB
Volume
60
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper provides representations of switched systems described by controlled differential inclusions, in terms of perturbed control systems. The control systems have dynamics given by differential equations, and their inputs consist of the original controls together with disturbances that evolve in compact sets; their sets of maximal trajectories contain, as a dense subset, the set of maximal trajectories of the original system. Several applications to control theory, dealing with properties of stability with respect to inputs and of detectability, are derived as a consequence of the representation theorem.

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