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The absolute stability of nonlinear systems

University of British Columbia

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.

Text

2011-05-25

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http://hdl.handle.net/2429/34874

Electrical and Computer Engineering

University of British Columbia

Graduate