Title :
Assessing stability of time-delay systems using rational systems
Author :
De Oliveira, Maurício C. ; Souza, Fernando O. ; Palhares, Reinaldo M.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Univ. of California San Diego, San Diego, CA, USA
Abstract :
In this paper, we show how stability of an infinite-dimensional linear time-delay system can be assessed by studying the stability of an associated finite-dimensional linear system, constructed after substituting the exponential function in the characteristic equation of the delay-system by a high enough finite power of the bilinear transformation.
Keywords :
delay systems; linear systems; multidimensional systems; stability; bilinear transformation; exponential function; finite-dimensional linear system; infinite-dimensional linear time-delay system; rational system; stability assessment; Control systems; Delay; Equations; Linear systems; Stability analysis; Upper bound;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739328
