Stability of Delayed Systems Modeled by Fractional Models

Author

De la Sen, Manuel

Author_Institution

Fac. of Sci. & Technol., Univ. of Basque Country, Bilbao

fYear

2008

fDate

19-21 Aug. 2008

Firstpage

83

Lastpage

88

Abstract

This paper discusses linear fractional representations (LFR) of parameter-dependent nonlinear systems with real-rational nonlinearities and point-delayed dynamics. Sufficient conditions for robust global asymptotic stability both independent of and dependent on the delays are investigated via linear matrix inequalities. Such inequalities are obtained from the values of the time-derivatives of appropriate Lyapunov functions at all the vertices of the polytope which contains the parametrized uncertainties.

Keywords

Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; linear systems; nonlinear control systems; Lyapunov function; delay system; global asymptotic stability; linear fractional representation; linear matrix inequalities; parameter-dependent nonlinear system; point-delayed dynamics; real-rational nonlinearities; Asymptotic stability; Delay systems; Nonlinear systems; Robust stability; Sufficient conditions; Symmetric matrices; Systems engineering and theory; Time varying systems; Transportation; Uncertainty; fractional models; polytopes; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems Engineering, 2008. ICSENG '08. 19th International Conference on

Conference_Location

Las Vegas, NV

Print_ISBN

978-0-7695-3331-5

Type

conf

DOI

10.1109/ICSEng.2008.36

Filename

4616618