Title :
On convexity in stabilization of nonlinear systems
Author :
Rantzer, Anders ; Parrilo, Pablo A.
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
Abstract :
A stability criterion for nonlinear systems, derived by the first author (2000), can be viewed as a dual to Lyapunov´s second theorem. The criterion is stated in terms of a function which can be interpreted as the stationary density of a substance that is generated all over the state space and flows along the system trajectories towards the equilibrium. The new criterion has a remarkable convexity property, which in this paper is used for controller synthesis via convex optimization. Numerical methods for verification of positivity of multivariate polynomials are used
Keywords :
Lyapunov methods; control system synthesis; nonlinear control systems; optimisation; polynomials; stability criteria; Lyapunov´s second theorem; convex optimization; convexity; multivariate polynomials; positivity; Automatic control; Control system synthesis; Control systems; Convergence; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Stability criteria; State-space methods;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914264
