Title :
Dissipativity of T-periodic linear systems
Author :
Yakubovich, V.A. ; Fradkov, A.L. ; Hill, D.J.
Author_Institution :
Math. Mech. Fac., St. Petersburg Univ., Russia
Abstract :
It is proved that the existence of a positive definite storage function is necessary and sufficient for strict dissipativity of linear systems with periodic coefficients. The connection between strict dissipativity of the system and a nonoscillatory property of an associated Hamiltonian system is established
Keywords :
Riccati equations; absolute stability; frequency-domain analysis; linear systems; periodic control; Hamiltonian system; Kalman-Yakubovich-Popov lemma; Riccati equation; absolute stability; dissipativity; frequency domain analysis; linear periodic systems; linear systems; positive definite storage function; Australia Council; Control systems; Design optimization; Differential equations; Frequency domain analysis; Linear systems; Riccati equations; Stability; Sufficient conditions;
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.1996.577299
