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
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;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.612014
