Title :
Lyapunov matrix of linear systems with delays: A polynomial approximation
Author :
Huesca, Erick ; Mondié, Sabine
Author_Institution :
Autom. Control Dept., CINVESTAV-IPN, Mexico City, Mexico
Abstract :
A polynomial approximation of the Lyapunov matrix appearing in the complete type Lyapunov Krasovskii functionals associated to time delay systems of retarded type with multiple arbitrary delays is proposed. Two measures of the quality of the approximation are provided: the first one is an estimate of the error in the derivative and the second one is based on the symmetric property.
Keywords :
Lyapunov matrix equations; delays; linear systems; polynomial approximation; Lyapunov Krasovskii functionals; Lyapunov matrix; linear systems; polynomial approximation; time delay systems; Automatic control; Control systems; Delay effects; Delay lines; Delay systems; Differential equations; Linear systems; Piecewise linear approximation; Polynomials; Symmetric matrices; Approximation; Lyapunov matrix; Lyapunov-Krasovskii functionals; Time delay systems;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control,CCE,2009 6th International Conference on
Conference_Location :
Toluca
Print_ISBN :
978-1-4244-4688-9
Electronic_ISBN :
978-1-4244-4689-6
DOI :
10.1109/ICEEE.2009.5393438
