DocumentCode
3212357
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
fYear
2009
fDate
10-13 Jan. 2009
Firstpage
1
Lastpage
6
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ICEEE.2009.5393438
Filename
5393438
Link To Document