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Some results on the Lpstability of linear time-varying systems

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1 Author(s)
Willems, J.C. ; Massachusetts Institute of Technology, Cambridge, MA, USA

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:14 ,  Issue: 6 )