DocumentCode
2884787
Title
On local and global exponential stability of nonlinear systems
Author
Swaroop, D. ; Hedrick, J.K.
Author_Institution
Dept. of Mech. Eng., Texas A&M Univ., College Station, TX, USA
Volume
5
fYear
1997
fDate
4-6 Jun 1997
Firstpage
3035
Abstract
We seek sufficient conditions that translate local exponential stability of (the origin of) a nonlinear system to global exponential stability. We provide examples of nonlinear systems that have a unique equilibrium point, and is locally exponentially stable, but have limit cycles or finite escape solutions. We present results for a class of triangular nonlinear systems, which guarantee global exponential stability based on local exponential stability
Keywords
asymptotic stability; limit cycles; nonlinear control systems; finite escape solutions; global exponential stability; limit cycles; local exponential stability; triangular nonlinear systems; unique equilibrium point; Asymptotic stability; H infinity control; Jacobian matrices; Limit-cycles; Linear systems; Nonlinear systems; Stability analysis; State-space methods; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1997. Proceedings of the 1997
Conference_Location
Albuquerque, NM
ISSN
0743-1619
Print_ISBN
0-7803-3832-4
Type
conf
DOI
10.1109/ACC.1997.612014
Filename
612014
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