Title :
Hurwitz stability test of linear systems with commensurate delays
Author :
Wang, Zaihua ; Kupper, Tassilo
Author_Institution :
Dept. of Appl. Math. & Phys., PLA Univ. of Sci. & Technol., Nanjing, China
Abstract :
Based on the concepts of Sylvester matrix and Sylvester resultant elimination, sufficient and necessary conditions are developed for the delay-independent stability of a class of delayed systems with commensurate delays, and an effective algorithm is presented for computing the minimal critical value T such that within the delay interval (0, T), the system has the same stability as the one when the delays disappear, if the system is not delay-independent stable. The minimal critical value can be determined simply by computing Sylvester resultant and by solving linear equations.
Keywords :
delay systems; linear systems; matrix algebra; stability; commensurate delays; delayed systems; linear equations; linear systems; matrix algebra; resultant elimination; stability test; Asymptotic stability; Delay effects; Delay systems; Equations; Linear systems; Mathematics; Physics; Programmable logic arrays; Stability analysis; System testing;
Conference_Titel :
Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
Print_ISBN :
0-7803-8273-0
DOI :
10.1109/WCICA.2004.1340752