Advances in Decision Sciences
Volume 2010 (2010), Article ID 809481, 19 pages
doi:10.1155/2010/809481
Input and output passivity of complex dynamical networks with general topology
Jinliang Wang
Chongqing Key Lab of Operations Research and System, Department of Mathematics and Computer Sciences, Chongqing Normal University, Chongqing 400047, China
Abstract
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.