Abstract
The purpose of this paper is to emphasize that for nonlinear systems, analysis and synthesis methods based on descriptor equations must be developed. First, two illustrative examples show that descriptor equations are superior to state-space equations in representing nonlinear systems as models for analysis and synthesis. Then, a new stability condition for nonlinear descriptor systems is derived on the basis of Liapunov function method. As an application of the method, an LMI condition is obtained for the stability of Lur'e-type feedback systems whose linear parts include direct paths.
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