Title :
Generalization of Kalman-Yakubovic-Popov lemma for restricted frequency inequalities
Author :
Iwasaki, T. ; Hara, S.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
The celebrated Kalman-Yakubovic-Popov (KYP) lemma converts frequency domain inequalities to linear matrix inequalities in the state space, suitable for development of systems theory and for numerical computations. This paper generalizes the KYP lemma to treat conditions on restricted frequency intervals. Conditions for both continuous-time and discrete-time cases are obtained as special cases.
Keywords :
continuous time systems; discrete time systems; linear matrix inequalities; state-space methods; KYP lemma; Kalma-Yakubovic-Popov; continuous-time systems; discrete-time systems; linear matrix inequalities; restricted frequency inequalities; restricted frequency intervals; state space; systems theory development; Adaptive control; Control systems; Discrete transforms; Filters; Frequency domain analysis; Linear matrix inequalities; Matrix converters; Robust control; Robust stability; State-space methods;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240432
