Graphical tests for the absolute stability of multivariable nonlinear systems.

• Main Author: Lau, Jackson
• Language: English
• Published: University of British Columbia 2011
• Subjects: Non-linear theories.; Multivariate analysis.
• Online Access: http://hdl.handle.net/2429/33498

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. === Applied Science, Faculty of === Electrical and Computer Engineering, Department of === Graduate