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Exponential Synchronization Analysis and Control for Discrete-Time Uncertain Delay Complex Networks with Stochastic Effects

Author

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  • Tianbo Wang
  • Wuneng Zhou
  • Dejun Zhao
  • Shouwei Zhao

Abstract

The exponential synchronization for a class of discrete-time uncertain complex networks with stochastic effects and time delay is investigated by using the Lyapunov stability theory and discrete Halanay inequality. The uncertainty arises from the difference of the nodes’ reliability in the complex network. Through constructing an appropriate Lyapunov function and applying inequality technique, some synchronization criteria and two control methods are obtained to ensure the considered complex network being exponential synchronization. Finally, a numerical example is provided to show the effectiveness of our proposed methods.

Suggested Citation

  • Tianbo Wang & Wuneng Zhou & Dejun Zhao & Shouwei Zhao, 2012. "Exponential Synchronization Analysis and Control for Discrete-Time Uncertain Delay Complex Networks with Stochastic Effects," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jnlmpe:261274
    DOI: 10.1155/2012/261274
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