A new stability test for nonlinear nonautonomous systems

  • Authors:

  • M. I. Gil'

  • Affiliations:

  • Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2004

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Abstract

We consider a class of nonlinear nonautonomous systems, whose linear parts are slowly varying matrices. Stability conditions and estimates for the region of attraction of the zero solution are derived. These conditions are formulated in terms of the determinants of the variable matrices.