Title :
Composite quadratic Lyapunov functions
Author :
Hu, Tingshu ; Lin, Zongli
Author_Institution :
Dept. of Electr. & Comput. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
A Lyapunov function based on a group of quadratic functions is introduced. We call this Lyapunov function a composite quadratic function. Some important properties of this Lyapunov function are revealed. We show that this function is continuously differentiable and its level set is the convex hull of a group of ellipsoids. These results can be used to study the set invariance properties for linear systems with input and state constraints.
Keywords :
Lyapunov methods; functions; invariance; linear systems; matrix algebra; nonlinear control systems; composite quadratic Lyapunov functions; continuously differentiable function; convex hull; ellipsoids; input constraints; level set; linear systems; set invariance properties; state constraints; Ellipsoids; Feedback; H infinity control; Level set; Linear systems; Lyapunov method; Merging; Nonlinear systems;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184416
