Non-linear unity-feedback systems and Q-parametrization

C. A. Desoer*, Ching-An Lin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


This paper concerns non-linear systems, defines a new concept of stability the ���� stability, and extends to unity-feedback systems the technique of Q-parametrization introduced for linear system by Zames and developed by Desoer, Chen and Gustafson. We specify (i) a global parametrization of all controllers that ����-stabilize a given ����-stable non-linear plant, (ii) a parametrization of a class of controllers that stabilize an unstable non-linear plant, and (iii) necessary and sufficient conditions for a nonlinear controller to simultaneously stabilize two non-linear plants.

Original languageEnglish
Pages (from-to)37-51
Number of pages15
JournalInternational Journal of Control
Issue number1
StatePublished - 1 Jan 1984

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