Title :
Homogeneous state feedback stabilization of homogeneous systems
Author_Institution :
Fachbereich Math., Frankfurt Univ.
Abstract :
We show that for any asymptotically controllable homogeneous system in Euclidean space (not necessarily Lipschitz at the origin) there exists an homogeneous control Lyapunov function and a homogeneous, possibly discontinuous state feedback law stabilizing the corresponding sampled closed loop system. We also show the relation between the degree of homogeneity and the bounds on the sampling rates which ensure asymptotic stability
Keywords :
Lyapunov methods; asymptotic stability; closed loop systems; controllability; sampled data systems; state feedback; Euclidean space; asymptotically controllable homogeneous system; degree of homogeneity; homogeneous control Lyapunov function; homogeneous state feedback stabilization; sampled closed loop system; sampling rate bounds; Asymptotic stability; Closed loop systems; Control systems; Controllability; Feedback loop; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Sampling methods; State feedback;
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.2000.912230
