On non-linear systems, additive feedback, and rationality
- 1 October 1984
- journal article
- research article
- Published by Informa UK Limited in International Journal of Control
- Vol. 40 (5), 953-969
- https://doi.org/10.1080/00207178408933321
Abstract
The problem of stabilizing a nonlinear system by the application of additive output feedback is considered. It is shown that if an infective recursive system σ can be so stabilized, then it must be rational, namely, it must be possible to express σ as a ratio Y. = PQ-l of two stable and recursive systems P and Q.Keywords
This publication has 11 references indexed in Scilit:
- Non-linear systems: stability and rationalityInternational Journal of Control, 1984
- Conditions for abstract nonlinear regulationInformation and Control, 1981
- Chaotic motion in nonlinear feedback systemsIEEE Transactions on Circuits and Systems, 1980
- On the stabilization of nonlinear systems using state detectionIEEE Transactions on Automatic Control, 1980
- Variable structure systems with sliding modesIEEE Transactions on Automatic Control, 1977
- The feedback interconnection of lumped linear time-invariant systemsJournal of the Franklin Institute, 1975
- Linear Multivariable SystemsApplied Mathematical Sciences, 1974
- 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
- A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear ElementBell System Technical Journal, 1964
- LYAPUNOV FUNCTIONS FOR THE PROBLEM OF LUR'E IN AUTOMATIC CONTROLProceedings of the National Academy of Sciences of the United States of America, 1963