Robust Controlled Invariant Sets for a class of Uncertain Hybrid Systems

Hai Lin and P.J. Antsaklis

Proceedings of the 2002 Conference on Decision and Control
pp. 3180-3181. Las Vegas, NV, USA, December 10-13, 2002.

Abstract- Invariant set theory has been widely studied in the literature, see for example [1, 2] and reference therein. [1] gives a compressive review of the invariant set theory. [2] brings together some of the main ideas in set invariance theory and places them in a general, nonlinear setting. A similar concept, maximal safety set, has been studied in the literature of hybrid systems. The authors of [7] consider a class of discrete time hybrid systems with piecewise linear time-invariant flow function and polyhedral constraints. The invariant sets for piecewise affine systems have also been studied in [3] based on convex optimization techniques and linear matrix inequalities.

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