DocumentCode :
390959
Title :
Partial stability of general dynamical systems under arbitrary initial z-perturbations
Author :
Sun, Ye ; Michel, Anthony N.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Volume :
3
fYear :
2002
fDate :
10-13 Dec. 2002
Firstpage :
2663
Abstract :
We develop results for partial stability of general dynamical systems under arbitrary initial z-perturbations with respect to y-invariant sets defined on metric space, using stability preserving mappings. Our results are applicable to a much larger class of systems than existing results, including to dynamical systems that cannot be determined by the usual classical (differential) equations. Furthermore, in contrast to existing results which pertain primarily to the analysis of equilibria, the present results apply to y-invariant sets (including equilibria as a special case). We apply our results in the analysis of a class of discrete event systems (a computer load balancing problem).
Keywords :
Lyapunov methods; discrete event systems; invariance; resource allocation; set theory; stability; arbitrary initial z-perturbations; computer load balancing problem; discrete event systems; equilibria; general dynamical systems; metric space; partial stability; stability preserving mappings; y-invariant sets; Application software; Computer networks; Differential equations; Discrete event systems; Extraterrestrial measurements; Load management; Mathematics; Stability analysis; Sun; USA Councils;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7516-5
Type :
conf
DOI :
10.1109/CDC.2002.1184241
Filename :
1184241
Link To Document :
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