H_∞ control for discrete-time complex dynamical networks with data missing

Ying Zhou · Computer Engineering and Applications Journal · 2012

A discrete-time complex dynamical network model is achieved in view of the phenomenon of data missing and channel disturbance during the information transmission among the nodes and by using data missing characterized with Bernoulli stochastic sequence.A novel H∞ control scheme is proposed for the above model based on Lyapunov stability theory combining with stochastic analysis such that the controlled outputs of complex dynamical network satisfy an H∞ performance index.An H∞ control criterion is established for discrete-time complex dynamical networks with data missing in the form of linear matrix inequalities.A numerical simulation is carried out by using a discrete-time complex dynamical network with 20 nodes.The simulation results demonstrate the effectiveness and validity of the proposed H∞ controller for a discrete-time complex dynamical network.

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