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L/superscript-p/ stability /p ranging from 1 to infinity/ of multivariable non-linear time-varying feedback systems that are open-loop unstableThe loop transformation technique (Sandberg, 1965; Zames, 1966, Willems, 1971), and the fixed point theorem (Schwartz, 1970) are used to derive the L(superscript-p) stability for a class of multivariable nonlinear time-varying feedback systems which are open-loop unstable. The application of the fixed point theorem in L(superscript-p) shows that the nonlinear feedback system has one and only one solution for any pair of inputs in L(superscript-p), that the solutions are continuously dependent on the inputs, and that the closed loop system is L(superscript-p)-stable for any p ranging from 1 to infinity.
Document ID
19740036418
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Callier, F. M.
Desoer, C. A.
(California, University Berkeley, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
January 1, 1974
Subject Category
Electronics
Accession Number
74A19168
Funding Number(s)
CONTRACT_GRANT: NGL-05-003-016
Distribution Limits
Public
Copyright
Other

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