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
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184241