Exponential stability analysis of nonlinear systems using LMIs

This paper presents a constructive method for showing exponential stability of autonomous nonlinear systems consisting of state-dependent weighted linear systems. This kind of system representation is common in, for instance, fuzzy systems or the result of an exact or approximate description of an a...

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Bibliographic Details
Published inProceedings of the 36th IEEE Conference on Decision and Control Vol. 1; pp. 199 - 204 vol.1
Main Authors Pettersson, S., Lennartson, B.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1997
Subjects
Application software
Control engineering
Ear
Fuzzy systems
Linear matrix inequalities
Linear systems
Lyapunov method
Nonlinear systems
Stability analysis
Vectors
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ISBN0780341872
9780780341876
ISSN0191-2216
DOI10.1109/CDC.1997.650615

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Summary:This paper presents a constructive method for showing exponential stability of autonomous nonlinear systems consisting of state-dependent weighted linear systems. This kind of system representation is common in, for instance, fuzzy systems or the result of an exact or approximate description of an arbitrary nonlinear vector field. Stability is shown by joining multiple local Lyapunov functions properly in the state-space. The overall Lyapunov function, consisting of the local ones, are allowed to be discontinued at the states where the trajectory passes from one local region to another. By using local quadratic Lyapunov functions the stability conditions are formulated as linear matrix inequalities (LMIs), which can be solved efficiently by computerized methods.
ISBN:0780341872
9780780341876
ISSN:0191-2216
DOI:10.1109/CDC.1997.650615