On local and global exponential stability of nonlinear systems Conference Paper uri icon

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.

author list (cited authors)

  • Swaroop, D., & Hedrick, J. K.

citation count

  • 1

publication date

  • January 1997

publisher