Title :
The choice of a Lyapunov function class for close approximation of the set of linear stabilization
Author :
Kamenetskiy, Vladimir A.
Author_Institution :
Inst. of Control Sci., Acad. of Sci., Moscow, Russia
Abstract :
Linear control systems closed by saturated linear feedback are widely known in control theory. When studying the region of attraction of such a system the problem arises of estimating some positive invariant its subset within which the closed-loop system does not encounter control constraints. The problem under consideration is characteristic for a Lyapunov function approach, it consists in choosing the class of Lyapunov functions providing the complete solution for the problem of approximating this subset
Keywords :
Lyapunov methods; closed loop systems; linear systems; stability; Lyapunov function class; close approximation; closed-loop system; linear control systems; linear stabilization; region of attraction; saturated linear feedback; Asymptotic stability; Control systems; Control theory; Linear approximation; Linear systems; Lyapunov method; Size control;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574638
