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Graphical tests for the absolute stability of multivariable nonlinear systems.

University of British Columbia

Three graphical methods, similar to Popov's approach, are derived to test a stability criterion for a general class of multivariable nonlinear feedback systems. Various simplifications of these methods are then derived for four particular classes of system: the series system, the parallel system, the internal feedback system, and the symmetric system. These stability tests may be applied to active networks that consist of passive linear time-invariant elements and many nonlinear controlled sources. It is further shown that certain special network structures may be represented as one of the four particular classes of system.

Text

2011-04-11

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http://hdl.handle.net/2429/33498

Electrical and Computer Engineering

University of British Columbia

Graduate