Stability Analysis of Implicit Polynomial Systems

This technical note develops a robust stability analysis method for a class of implicit polynomial systems subject to uncertain constant parameters. A polynomial (with respect to the state and uncertain parameters) Lyapunov function is computed to assess the robust local stability of the system and...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 54; no. 5; pp. 1012 - 1018
Main Authors Coutinho, D.F., de Souza, C.E., Trofino, A.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2009
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Attraction
Automatic control
Automation
Computation
Control systems
Domain of attraction
Estimates
Linear matrix inequalities
Lyapunov functions
Lyapunov method
Mathematical models
Nonlinear systems
parameter-dependent Lyapunov function
polynomial systems
Polynomials
Robust stability
Stability
Stability analysis
State estimation
uncertain systems
Vectors
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2009.2017145

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Summary:This technical note develops a robust stability analysis method for a class of implicit polynomial systems subject to uncertain constant parameters. A polynomial (with respect to the state and uncertain parameters) Lyapunov function is computed to assess the robust local stability of the system and to provide a robust estimate of the domain of attraction. The results are given in terms of linear matrix inequalities that are affinely dependent on the system state and uncertain parameters. Numerical examples illustrate the effectiveness of the developed approach.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2009.2017145