Stochastic sampled-data control for synchronization of complex dynamical networks with control packet loss and additive time-varying delays

Neural Networks : the Official Journal of the International Neural Network Society
R RakkiyappanJinde Cao

Abstract

This study examines the exponential synchronization of complex dynamical networks with control packet loss and additive time-varying delays. Additionally, sampled-data controller with time-varying sampling period is considered and is assumed to switch between m different values in a random way with given probability. Then, a novel Lyapunov-Krasovskii functional (LKF) with triple integral terms is constructed and by using Jensen's inequality and reciprocally convex approach, sufficient conditions under which the dynamical network is exponentially mean-square stable are derived. When applying Jensen's inequality to partition double integral terms in the derivation of linear matrix inequality (LMI) conditions, a new kind of linear combination of positive functions weighted by the inverses of squared convex parameters appears. In order to handle such a combination, an effective method is introduced by extending the lower bound lemma. To design the sampled-data controller, the synchronization error system is represented as a switched system. Based on the derived LMI conditions and average dwell-time method, sufficient conditions for the synchronization of switched error system are derived in terms of LMIs. Finally, numerical example...Continue Reading

References

Apr 18, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Jinde Cao, Lulu Li
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W KinzelI Kanter
Mar 24, 2011·IEEE Transactions on Neural Networks·Hanyong Shao, Qing-Long Han
Jun 4, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Tae H LeeS M Lee
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems· Zheng-Guang Wu Jian Chu

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Citations

Feb 19, 2016·Neural Computation·Yang LiuJianquan Lu
Dec 10, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Aijuan WangXiaofeng Liao
Sep 15, 2015·Computational Intelligence and Neuroscience·Vandana SakhreDev P Agarwal

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