Some results on the Lpstability of linear time-varying systems
- 1 December 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (6) , 660-665
- https://doi.org/10.1109/tac.1969.1099286
Abstract
This paper considers the L p stability 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.Keywords
This publication has 4 references indexed in Scilit:
- Stability, Instability, Invertibility and CausalitySIAM Journal on Control, 1969
- On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearitiesIEEE Transactions on Automatic Control, 1966
- On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivityIEEE Transactions on Automatic Control, 1966
- Some Results on the Theory of Physical Systems Governed Nonlinear Functional EquationsBell System Technical Journal, 1965