Title :
The solution of the generalized Lurie problem for direct control systems
Author_Institution :
Dept. of Math., Claremont Graduate Sch., CA, USA
Abstract :
This paper is concerned with the absolute stability of a direct control system. It is a continuation of the work of Meyer, Kalman and Yacubovich (the MKY lemmas) for the existence of Lyapunov functions with Lurie type for the generalized Lurie problem. We obtain a necessary and sufficient condition of frequency form for the Lyapunov functions to be positive definite with negative definite derivative, which is an improvement of the Popov frequency criterion. Subsequently the generalized Lurie problem is completely solved
Keywords :
Lyapunov methods; Popov criterion; absolute stability; MKY lemmas; absolute stability; direct control systems; generalized Lurie problem; necessary and sufficient condition; negative definite derivative; positive definite Lyapunov functions; Control systems; Control theory; Frequency domain analysis; Kalman filters; Mathematics; Regulators; Robots; Stability; Sufficient conditions; Transfer functions;
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.1996.572931
