DocumentCode :
2651100
Title :
The stability bounds of linear time-delay-singularly perturbed systems
Author :
Shao, Z.H. ; Rowland, J.R.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Kansas Univ., Lawrence, KS, USA
Volume :
2
fYear :
1994
fDate :
29 June-1 July 1994
Firstpage :
1945
Abstract :
The stability of a linear time-invariant singularly perturbed system with time-delay in slow states is discussed. A delay-dependent sufficient condition for the stability bound ε* is given, such that the stability of the full-order model can be inferred from the analysis of the corresponding reduced-order model in separate time scales. The perturbation on time delay is also considered. The significance of the obtained results is illustrated by several examples.
Keywords :
delay systems; linear systems; singularly perturbed systems; stability; delay-dependent sufficient condition; full-order model; linear time-delay singularly perturbed systems; reduced-order model; slow states; stability bounds; time-invariant singularly perturbed system; Computer science; Delay effects; Erbium; Frequency; Reduced order systems; Stability analysis; Stability criteria; Sufficient conditions; Upper bound;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
Type :
conf
DOI :
10.1109/ACC.1994.752414
Filename :
752414
Link To Document :
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