Title :
Stability of Delayed Systems Modeled by Fractional Models
Author :
De la Sen, Manuel
Author_Institution :
Fac. of Sci. & Technol., Univ. of Basque Country, Bilbao
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;
Conference_Titel :
Systems Engineering, 2008. ICSENG '08. 19th International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-0-7695-3331-5
DOI :
10.1109/ICSEng.2008.36
