On linear-quadratic dissipative control processes with time-varying
coefficients,
with Roberta Fabbri, Russell
Johnson and Sylvia Novo,
Discrete Cont. Dyn.
Sys. - Ser. A 33 (1) (2013), 193-210.
Yakubovich, Fradkov, Hill and Proskurnikov
have used the Yakubovich Frequency Theorem
to prove that a strictly dissipative linear-quadratic
control process with periodic coefficients admits
a storage function, and various related results. Their
analysis is now extended to the case when the
coefficients are bounded uniformly continuous
functions.