Title :
On control of networks of dynamical systems
Author_Institution :
IBM T. J. Watson Res. Center, Hawthorne, NY, USA
fDate :
May 30 2010-June 2 2010
Abstract :
We consider a network of dynamical systems whose trajectories we wish to control by applying stimuli to a subset of systems. We study the minimum number of systems to control and which systems to control and provide sufficient conditions and necessary conditions for successful control. These conditions are given in terms of graph theoretical properties of the underlying network. For instance, we show that for the cycle graph, the best way to achieve control is by applying control to systems that are approximately equally spaced apart.
Keywords :
graph theory; nonlinear dynamical systems; cycle graph; graph theoretical properties; nonlinear dynamical system; Complex networks; Control systems; Eigenvalues and eigenfunctions; Intelligent networks; Laplace equations; Network topology; Nonlinear dynamical systems; Sufficient conditions; Vectors;
Conference_Titel :
Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-5308-5
Electronic_ISBN :
978-1-4244-5309-2
DOI :
10.1109/ISCAS.2010.5537735
