Title :
Invariant sets for a class of hybrid systems
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
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
Keywords :
automata theory; continuous time systems; discrete time systems; invariance; iterative methods; linear systems; matrix algebra; optimisation; automata theory; convex optimization; hybrid systems; invariant ellipsoid; invariant sets; iterative methods; linear matrix inequality; paraboloids; piecewise affine systems; polytopes; quadratic cones; Automata; Ellipsoids; Linear systems; Nonlinear control systems; Nonlinear dynamical systems; Optimization methods; Safety; Stability; State-space methods; World Wide Web;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761784
