Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness

We extend the notion of dissipative dynamical systems to formalize the concept of the nonlinear analog of strict positive realness and strict bounded realness. In particular, using exponentially weighted system storage functions with appropriate exponentially weighted supply rates, we introduce the...

Full description

Bibliographic Details
Main Authors: VijaySekhar Chellaboina, Wassim M. Haddad
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/S1024123X03202015