Stability results for linear parameter varying and switching systems

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. (c) 2007 Elsevier Ltd. All rights reserved.