Advances in Decision Sciences
Volume 2010 (2010), Article ID 809481, 19 pages
Research Article

Input and Output Passivity of Complex Dynamical Networks with General Topology

Chongqing Key Lab of Operations Research and System, Department of Mathematics and Computer Sciences, Chongqing Normal University, Chongqing 400047, China

Received 17 August 2009; Accepted 28 December 2009

Academic Editor: Stefanka Chukova

Copyright © 2010 Jinliang Wang. 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.


The input passivity and output passivity are investigated for a generalized complex dynamical network, in which the coupling may be nonlinear, time-varying, and nonsymmetric. By constructing some suitable Lyapunov functionals, some input and output passivity criteria are derived in form of linear matrix inequalities (LMIs) for complex dynamical network. Finally, a numerical example and its simulation are given to illustrate the efficiency of the derived results.