Journal of Applied Sciences ›› 2014, Vol. 32 ›› Issue (6): 639-644.doi: 10.3969/j.issn.0255-8297.2014.06.014

• Control and System • Previous Articles     Next Articles

H1 Control of Complex Dynamical Networks with Communication Noise and Random Time-Delays

WEI Qing-yang, FAN Chun-xia, GU Yu   

  1. College of Automation, Nanjing University of Posts and Telecommunication, Nanjing 210003, China
  • Received:2012-11-01 Revised:2014-09-09 Online:2014-11-28 Published:2014-09-09

Abstract: A novel H1 control strategy is proposed to stabilize complex networks coupled with communication
noise and random time delays. Time delays in the node’s information transmitted over the network can be
described with Markov chains. Based on the theories of Lyapunov stability and stochastic analysis, and using
an H1 control approach, a criterion for the controller design is derived. Numerical simulation shows that the
proposed controller is valid in stabilizing complex networks in which a chaotic Lorenz system is used as the
node dynamics, and a certain H1 index is satisfied.

Key words: complex dynamical networks, H1 control, random time-delay, Lyapunov function

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