On the existence of a continuous storage function for dissipative systems

摘要

Conditions for nonlocal existence of a continuous storage function for nonlinear dissipative system are presented. More precisely, it is shown that under the local w-uniform reachability assumption at one point x, the required supply function is continuous on the set of points reachable from x. Conditions for the local w-uniform reachability based on the local controllability properties of the system are provided. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 15]