Stability Conditions for Nonlinear Descriptor Systems

Descriptor equations have much more flexibility in describing nonlinear systems than state equations. In this paper, based on the Lyapunov's direct method, stability conditions are developed for nonlinear descriptor systems. An existence condition of solutions of descriptor equations is also de...

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Bibliographic Details
Published inTransactions of the Institute of Systems, Control and Information Engineers Vol. 20; no. 4; pp. 152 - 159
Main Authors WADA, Teruyo, IKEDA, Masao, UEZATO, Eiho
Format Journal Article
LanguageJapanese
Published THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE) 15.04.2007
Subjects
descriptor equations
multivariable Lur'e systems
nonlinear systems
stability analysis
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ISSN1342-5668
2185-811X
DOI10.5687/iscie.20.152

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Summary:Descriptor equations have much more flexibility in describing nonlinear systems than state equations. In this paper, based on the Lyapunov's direct method, stability conditions are developed for nonlinear descriptor systems. An existence condition of solutions of descriptor equations is also derived. The results remove the differentiability assumptions on nonlinearities in descriptor equations, which are required in the existing works. As an application of the conditions, stability analysis of a Lur'e-type feedback system whose linear part has a direct path is considered by using a descriptor expression.
ISSN:1342-5668
2185-811X
DOI:10.5687/iscie.20.152