On the time-reparametrization of quasi-polynomial systems

In this Letter we show that an important type of time-reparametrization problem in quasi-polynomial systems is equivalent to the feasibility of a suitably constructed bilinear matrix inequality where the unknowns are the coefficients of the Lyapunov function and the exponents in the time-reparametri...

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Bibliographic Details
Published in:Physics letters. A 2005-01, Vol.334 (4), p.288-294
Main Authors: Szederkényi, Gábor, Hangos, Katalin M., Magyar, Attila
Format: Article
Language:English
Subjects:
Bilinear matrix inequalities
Quasi-polynomial systems
Stability
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Summary:In this Letter we show that an important type of time-reparametrization problem in quasi-polynomial systems is equivalent to the feasibility of a suitably constructed bilinear matrix inequality where the unknowns are the coefficients of the Lyapunov function and the exponents in the time-reparametrization transformation.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.11.026