Output feedback control of cluster synchronization for Lur'e networks with packet dropouts

This paper studies the issue of cluster synchronization for a kind of time-varying delay coupled Lur'e networks with data packet dropouts and stochastic disturbances. By imposing output feedback controllers to the networks, the nodes in each cluster which directly connected with the nodes in other clusters are controlled. Besides, Bernoulli stochastic processes are used to model the packet dropouts phenomena during the data transmission. Several criteria are obtained to ensure the achievement of the cluster synchronization by using S-procedure and Lyapunov stability theorem. In addition, a numerical example is presented to illustrate the validity of theoretical analysis.

[1]  Jinde Cao,et al.  Cluster synchronization in an array of coupled stochastic delayed neural networks via pinning control , 2011, Neurocomputing.

[2]  Jianwen Feng,et al.  Cluster synchronisation of non-linearly coupled Lur'e networks with identical and non-identical nodes and an asymmetrical coupling matrix , 2013 .

[3]  Zhenjiang Zhao,et al.  Cluster, local and complete synchronization in coupled neural networks with mixed delays and nonlinear coupling , 2013, Neural Computing and Applications.

[4]  Zhisheng Duan,et al.  Cluster synchronisation of Lur'e dynamical networks , 2012 .

[5]  J. Collins,et al.  Construction of a genetic toggle switch in Escherichia coli , 2000, Nature.

[6]  B. Goodwin.  Oscillatory behavior in enzymatic control processes. , 1965, Advances in enzyme regulation.

[7]  Iris F. A. Vis,et al.  Synchronization in cross-docking networks: A research classification and framework , 2014, Eur. J. Oper. Res..

[8]  Guangzhen Hu,et al.  Global Synchronization for Coupled Lur’e Dynamical Networks , 2013, Circuits Syst. Signal Process..

[9]  Jin Zhou,et al.  Synchronization of sampled-data coupled harmonic oscillators with control inputs missing , 2012, Syst. Control. Lett..

[10]  M. Elowitz,et al.  A synthetic oscillatory network of transcriptional regulators , 2000, Nature.

[11]  Stevan Dubljevic,et al.  Backstepping output-feedback control of moving boundary parabolic PDEs , 2015, Eur. J. Control.

[12]  Ju H. Park,et al.  Synchronization of discrete-time neural networks with time delays subject to missing data , 2013, Neurocomputing.

[13]  M. Roukes,et al.  Phase synchronization of two anharmonic nanomechanical oscillators. , 2013, Physical review letters.

[14]  Huai-Ning Wu,et al.  Synchronization criteria for impulsive complex dynamical networks with time-varying delay , 2012 .

[15]  Ravi N. Banavar,et al.  Attitude synchronization of satellites with internal actuation , 2014, 2014 European Control Conference (ECC).

[16]  Guang-Hong Yang,et al.  New Results on Output Feedback $H_{\infty} $ Control for Linear Discrete-Time Systems , 2014, IEEE Transactions on Automatic Control.