Title :
Stability radius of linear delay systems
Author :
Son, Nguyen Khoa ; Ngoc, Pham Huu Anh
Author_Institution :
Inst. of Math., Hanoi Univ., Viet Nam
Abstract :
We study robust stability of linear time delay systems under structured parameter uncertainty. A formula for complex stability radius is derived. We then consider linear positive delay systems and prove that for this class of systems the complex stability radius is equal to the real stability radius which can be computed via a simple formula. An illustrative example is given
Keywords :
asymptotic stability; delay systems; linear systems; matrix algebra; robust control; uncertain systems; complex stability radius; linear positive delay systems; real stability radius; robust stability; structured parameter uncertainty; Asymptotic stability; Delay effects; Delay systems; Differential equations; Linear systems; Mathematics; Robust stability; Size measurement; Thermal stability; Uncertain systems;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.783153