Brief paper: Stability results for linear parameter varying and switching systems

Authors:
Franco Blanchini;Stefano Miani;Carlo Savorgnan
Affiliations:
Dipartimento di Matematica e Informatica, Universití degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy;Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universití degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy;Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Universití degli Studi di Udine, Via delle Scienze 208, 33100 Udine, Italy
Venue:
Automatica (Journal of IFAC)
Year:
2007

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Abstract

In this paper, stabilizability problems for discrete and continuous time linear systems with switching or polytopic uncertainties are dealt with. Both state feedback and full-information controllers are considered, possibly with an integral action. Several cases will be analyzed, depending on the control, the uncertainty and the presence of uncertainties in the input matrix. A complete overview of the stabilizability implications among these different cases will be given.