Title: H_∞ control for spatio-temporal switching networks with coupling delays

Authors: J. Yao, W. Xu, Y. Yu

Addresses: Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai, PR China. ' Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai, PR China. ' Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai, PR China

Abstract: This paper formulates and studies a new model of complex spatio-temporal switching network with coupling delays. The dynamics of each node at different time-interval corresponds to different switching mode, and the whole topology of the network is switched between diverse structures. The switching signals depend not only on instant time t but also on the index of node i. Based on Lyapunov stability theory, sufficient conditions for robust criteria of the corresponding spatio-temporal switching closed-loop network are established. Finally, an illustrative example is included.

Keywords: complex dynamical networks; spatio-temporal switching; H_∞ control; coupling delays; H-infinity control; Lyapunov stability.

DOI: 10.1504/IJSCC.2009.026324

International Journal of Systems, Control and Communications, 2009 Vol.1 No.4, pp.492 - 501

Published online: 06 Jun 2009 *

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