DocumentCode :
404286
Title :
Converse theorems of the principal Lyapunov results for partial stability of general dynamical systems on metric spaces
Author :
Molchanov, A.P. ; Michel, A.N. ; Sun, Y.
Author_Institution :
Inst. of Control Sci., Acad. of Sci., Moscow, Russia
Volume :
5
fYear :
2003
fDate :
9-12 Dec. 2003
Firstpage :
5085
Abstract :
We present converse theorems for the principal Lyapunov results concerning partial stability properties of general dynamical systems defined on metric spaces. We consider the general case of partial stability (y-stability) with respect to disturbances in all of the initial state variables x0=(y0, z0) as well as the case of y-stability under arbitrary z-perturbations.
Keywords :
Banach spaces; Lyapunov methods; asymptotic stability; nonlinear differential equations; nonlinear dynamical systems; arbitrary z-perturbations; converse theorems; dynamical systems; metric spaces; partial stability; principal Lyapunov theorem; state variables; y-stability; Control systems; Extraterrestrial measurements; Lyapunov method; Stability; Sun;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7924-1
Type :
conf
DOI :
10.1109/CDC.2003.1272442
Filename :
1272442
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=404286
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