%0 Journal Article %T A Converse Lyapunov Theorem and Robustness with Respect to Unbounded Perturbations for Exponential Dissipativity %A Li Xudong %A Guo Yuan %J Advances in Difference Equations %D 2010 %I Springer %X This paper is concerned with the nonlinear system . We give a converse Lyapunov theorem and prove robustness of uniform exponential dissipativity with respect to unbounded external perturbations, without assuming being globally Lipschitz in . %U http://www.advancesindifferenceequations.com/content/2010/726347