DocumentCode
2766035
Title
Invariant sets for a class of hybrid systems
Author
Jirstrand, Mats
Author_Institution
Dept. of Electr. Eng., Linkoping Univ., Sweden
Volume
4
fYear
1998
fDate
16-18 Dec 1998
Firstpage
3699
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.761784
Filename
761784
Link To Document