Stabilizability for nonlinear systems of difference equations

AbstractThe stabilization problem for a class of infinite‐dimensional discrete‐time nonlinear systems is discussed. Under an appropiate growth condition on the nonlinear perturbation combined with the ‘freezing’ method to discrete‐time systems on Banach spaces, we establish explicit conditions for global feedback exponential stabilizability, and these conditions are easy to construct and to verify. This approach will allow us to avoid the construction of Lyapunov's functions in some situations. Copyright © 2009 John Wiley & Sons, Ltd.

Kimelfe