H∞ control for spatio-temporal switching networks with coupling delays

  • Authors:
  • J. Yao;W. Xu;Y. Yu

  • Affiliations:
  • 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

  • Venue:
  • International Journal of Systems, Control and Communications
  • Year:
  • 2009

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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.