Some results on the Lpstability of linear time-varying systems

This paper considers the Lpstability of systems with a convolution operator in the forward loop and a time-varying gain in the feedback loop. A frequency-domain condition involving the frequency response of the forward loop and the Fourier coefficients of the time-varying gain of the feedback loop is presented. The paper also contains a somewhat more involved time-domain condition in terms of the open-loop weighting pattern.