On local and global exponential stability of nonlinear systems
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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.
name of conference
Proceedings of the 1997 American Control Conference (Cat. No.97CH36041)
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6
author list (cited authors)
Swaroop, D., & Hedrick, J. K.
complete list of authors