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The absolute stability of nonlinear systems Chang, Te-Lung

Abstract

This thesis is in two parts, both considering the absolute stability of nonlinear systems. In the first two chapters the stability of certain classes of nonlinear time invariant systems involving several nonlinearities is considered. A number of graphical methods are given for testing the stability of these systems. The graphical tests are equivalent to a weakened form of the Popov criterion. The third chapter derives a stability condition for nonlinear systems involving a linear time-varying gain. The time-varying gain is assumed to satisfy conditions on its magnitude and rate of change.

Item Metadata

Title	The absolute stability of nonlinear systems
Creator	Chang, Te-Lung
Publisher	University of British Columbia
Date Issued	1970
Description	This thesis is in two parts, both considering the absolute stability of nonlinear systems. In the first two chapters the stability of certain classes of nonlinear time invariant systems involving several nonlinearities is considered. A number of graphical methods are given for testing the stability of these systems. The graphical tests are equivalent to a weakened form of the Popov criterion. The third chapter derives a stability condition for nonlinear systems involving a linear time-varying gain. The time-varying gain is assumed to satisfy conditions on its magnitude and rate of change.
Genre	Thesis/Dissertation
Type	Text
Language	eng
Date Available	2011-05-25
Provider	Vancouver : University of British Columbia Library
Rights	For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
DOI	10.14288/1.0102180
URI	http://hdl.handle.net/2429/34874
Degree	Master of Applied Science - MASc
Program	Electrical and Computer Engineering
Affiliation	Applied Science, Faculty of; Electrical and Computer Engineering, Department of
Degree Grantor	University of British Columbia
Campus	UBCV
Scholarly Level	Graduate
Aggregated Source Repository	DSpace

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UBC_1970_A7 C43.pdf -- 2.85MB

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For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.