The Strict Bounded Real Lemma for Linear Time-Varying Systems1

In this paper, we present a strict bounded real lemma for linear time-varying systems in the infinite-horizon case. Using some operator methods, we show that the strict bounded realness for the related IrO operators is equivalent to the solvability of a semidefinite or definite Riccati equation. We also apply this result to the problem of disturbance attenuation and H -optimization. All our results ` include current ones in the literature for linear time-invariant systems