Exponential Stability of Nonlinear Nonautonomous Multivariable Discrete Systems
Department of Mathematics, Ben Gurion University of the Negev, P.0. Box 653, Beer-Sheva 84105, Israel
- Corresponding Author:
- Gil M
Department of Mathematics
Ben Gurion University
of the Negev, P.0. Box 653
Beer-Sheva 84105, Israel
E-mail: [email protected]
Received Date: March 28, 2016; Accepted Date: April 15, 2016; Published Date: April 21, 2016
Citation: Gil M (2016) Exponential Stability of Nonlinear Nonautonomous Multivariable Discrete Systems. J Appl Computat Math 5:297. doi:10.4172/2168-9679.1000297
Copyright: © 2016 Gil M. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
We consider a class of nonautonomous discrete-time systems governed by semilinear vector difference equations with slowly varying linear parts. Sharp exponential stability conditions are suggested. They are formulated in terms of the eigenvalues of the coefficients and constants characterizing the nonlinearities. Our approach is based on the recent norm estimates for solutions of matrix equations.