Invariant Sets for a Class of Hybrid Systems
1998 (English)In: Proceedings of the 37th IEEE Conference on Decision and Control, 1998, 3699-3704 vol.4 p.Conference paper (Refereed)
A method for computing invariant sets of piecewise affine systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compute invariant ellipsoids, quadratic cones, and paraboloids for affine systems which contain initial sets of different form such as polytopes, ellipsoids, and degenerate ellipsoids. An invariant set for a piecewise affine system can be computed by an iterative procedure that utilizes these types of computations
Place, publisher, year, edition, pages
1998. 3699-3704 vol.4 p.
Automata theory, Continuous time systems, Discrete time systems, Invariance, Iterative methods, Linear systems, Matrix algebra, Optimisation
IdentifiersURN: urn:nbn:se:liu:diva-91615DOI: 10.1109/CDC.1998.761784ISBN: 0-7803-4394-8OAI: oai:DiVA.org:liu-91615DiVA: diva2:626243
37th IEEE Conference on Decision and Control, Tampa, FL, USA, December, 1998