IEEE Transactions on Automatic Control, Vol.52, No.6, 1039-1047, 2007
Dissipativity of T-periodic linear systems
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.