Title :
Dissipativity of T-Periodic Linear Systems
Author :
Yakubovich, Vladimir A. ; Fradkov, Alexander L. ; Hill, David J. ; Proskurnikov, Anton V.
Author_Institution :
St. Petersburg State Univ., St. Petersburg
fDate :
6/1/2007 12:00:00 AM
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 :
linear systems; periodic control; T-periodic linear systems dissipativity; associated Hamiltonian system; positive-definite storage function; Constraint optimization; Cybernetics; Design optimization; Helium; Linear systems; Lyapunov method; Stability analysis; Stability criteria; Sufficient conditions; Uncertain systems; Dissipativity; Hamiltonian systems; linear periodic systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.899013
