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Stability results for continuous and discrete time linear parameter varying systems

Authors:Savorgnan Carlo, Università di Udine, Italy
Blanchini Franco, Università di Udine, Italy
Miani Stefano, Università di Udine, Italy
Topic:2.5 Robust Control
Session:Robustness Analysis I
Keywords: stabilizability implications, polyhedra, convex, uncertainties, switching

Abstract

In this paper, stabilizability problems for discrete and continuoustime linear systems with switching or polytopic uncertainties aredealt with. Both state feedback and full-information controllers areconsidered, possibly with an integral action. Several cases will beanalyzed, depending on the control, the uncertainty and the presenceof uncertainties in the input matrix. A complete overview of thestabilizability implications among these different cases will begiven.