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.
author list (cited authors)
Swaroop, D., & Hedrick, J. K.