A graphical test of the small gains theorem for multivariable non-linear systems
- 1 August 1981
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 34 (2), 391-402
- https://doi.org/10.1080/00207178108922538
Abstract
A graphical test for the stability of a broad class of multivariable non-linear systems based on the small gains theorem is given. Comparisons of the test with other known results are made and the text is illustrated by means of several numerical examples.Keywords
This publication has 3 references indexed in Scilit:
- The generalized Nyquist stability criterion and multivariable root lociInternational Journal of Control, 1977
- Return-difference and return-ratio matrices and their use in analysis and design of multivariable feedback control systemsProceedings of the Institution of Electrical Engineers, 1970
- 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