Copyright © 2010 Xudong Li and Yuan Guo. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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 .