L_{p}stability of time-varying linear feedback systems
- 1 June 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 17 (3) , 412-414
- https://doi.org/10.1109/tac.1972.1100018
Abstract
In this note, we consider the input-output stability of feedback systems whose forward element is linear and time varying and whose feedback element is a memoryless gain multiplier with a gain that is absolutely integrable as a function of time. Necessary and sufficient conditions are derived for the input-output stability of such systems.Keywords
This publication has 4 references indexed in Scilit:
- General necessary conditions for input-output stabilityProceedings of the IEEE, 1971
- Some results on the Lpstability of linear time-varying systemsIEEE Transactions on Automatic Control, 1969
- Stability of Linear Time-Invariant SystemsIEEE Transactions on Circuit Theory, 1968
- $L_p $-Stability of Linear Time-Varying Feedback SystemsSIAM Journal on Control, 1968