Aperiodically intermittent control for synchronization of switched complex networks with unstable modes via matrix $$\varvec{\omega }$$ω-measure approach

The study, by using aperiodically intermittent pinning control, is to synchronize switched delayed complex networks with unstable subsystems. Matrix $$\omega $$ω-measure and mode-dependent average dwell time method are used to achieve globally exponential synchronization for such system. By designing the useful switching rule and control scheme, we obtain the novel synchronization criteria, which improve the conventional results. Finally, simulation analysis demonstrates the advantages of proposed innovations.

[1]  Ju H. Park,et al.  Robust stabilisation for non-linear time-delay semi-Markovian jump systems via sliding mode control , 2017 .

[2]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[3]  Jinde Cao,et al.  Outer synchronization of partially coupled dynamical networks via pinning impulsive controllers , 2015, J. Frankl. Inst..

[4]  Gang Wang,et al.  Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time. , 2014, ISA transactions.

[5]  Hongbin Zhang,et al.  H∞ Filtering for a class of nonlinear switched systems with stable and unstable subsystems , 2017, Signal Process..

[6]  Jinde Cao,et al.  Pinning impulsive stabilization of nonlinear Dynamical Networks with Time-Varying Delay , 2012, Int. J. Bifurc. Chaos.

[7]  Quanxin Zhu,et al.  Stability analysis of Markov switched stochastic differential equations with both stable and unstable subsystems , 2017, Syst. Control. Lett..

[8]  Jinde Cao,et al.  Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays , 2014, Neural Networks.

[9]  Guanrong Chen,et al.  Hybrid chaos synchronization and its application in information processing , 2002 .

[10]  Guo-Wei Wei,et al.  Synchronization-based image edge detection , 2002 .

[11]  Maciej Ogorzalek,et al.  Global relative parameter sensitivities of the feed-forward loops in genetic networks , 2012, Neurocomputing.

[12]  Yonggui Kao,et al.  Exponential stability and L1-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time , 2018, Inf. Sci..

[13]  Haibo He,et al.  Semi-periodically intermittent control for synchronization of switched complex networks: a mode-dependent average dwell time approach , 2016 .

[14]  R. Rakkiyappan,et al.  Stochastic sampled-data H∞ synchronization of coupled neutral-type delay partial differential systems , 2015, J. Frankl. Inst..

[15]  Quanxin Zhu,et al.  Razumikhin-type theorem for stochastic functional differential equations with Lévy noise and Markov switching , 2017, Int. J. Control.

[16]  Jinde Cao,et al.  Synchronization of Switched Interval Networks and Applications to Chaotic Neural Networks , 2013 .

[17]  Jinde Cao,et al.  Stability analysis of switched cellular neural networks: A mode-dependent average dwell time approach , 2016, Neural Networks.

[18]  Quanxin Zhu,et al.  Synchronization of reaction–diffusion neural networks with time-varying delays via stochastic sampled-data controller , 2014, Nonlinear Dynamics.

[19]  Haijun Jiang,et al.  Synchronization of hybrid-coupled delayed dynamical networks via aperiodically intermittent pinning control , 2016, J. Frankl. Inst..

[20]  Peng Shi,et al.  Stability and Stabilization of Switched Linear Systems With Mode-Dependent Average Dwell Time , 2012, IEEE Transactions on Automatic Control.

[21]  Jinde Cao,et al.  Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances , 2017, Appl. Math. Comput..

[22]  Quanxin Zhu,et al.  Exponential synchronization of Markovian jumping chaotic neural networks with sampled-data and saturating actuators , 2017 .

[23]  Jinde Cao,et al.  Exponential synchronization of chaotic neural networks: a matrix measure approach , 2009 .

[24]  Jinde Cao,et al.  On Pinning Controllability of Boolean Control Networks , 2016, IEEE Transactions on Automatic Control.

[25]  Huijun Gao,et al.  Asynchronously switched control of switched linear systems with average dwell time , 2010, Autom..

[26]  Jinde Cao,et al.  Pinning synchronization of delayed dynamical networks via periodically intermittent control. , 2009, Chaos.

[27]  Jinde Cao,et al.  Global Synchronization of Linearly Hybrid Coupled Networks with Time-Varying Delay , 2008, SIAM J. Appl. Dyn. Syst..

[28]  Peng Shi,et al.  Passivity and Passification for a Class of Uncertain Switched Stochastic Time-Delay Systems , 2013, IEEE Transactions on Cybernetics.

[29]  Wei Zhang,et al.  Synchronization of neural networks with stochastic perturbation via aperiodically intermittent control , 2015, Neural Networks.

[30]  Ligang Wu,et al.  Exponential stabilization of switched stochastic dynamical networks , 2009 .

[31]  Daniel W. C. Ho,et al.  Globally Exponential Synchronization and Synchronizability for General Dynamical Networks , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[32]  Wenwu Yu,et al.  Distributed Adaptive Control of Synchronization in Complex Networks , 2012, IEEE Transactions on Automatic Control.

[33]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[34]  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 .

[35]  S. Strogatz,et al.  Synchronization of pulse-coupled biological oscillators , 1990 .

[36]  Yang Tang,et al.  Exponential Synchronization of Coupled Switched Neural Networks With Mode-Dependent Impulsive Effects , 2013, IEEE Transactions on Neural Networks and Learning Systems.

[37]  S. Strogatz Exploring complex networks , 2001, Nature.

[38]  Tianping Chen,et al.  Synchronization of Linearly Coupled Networks With Delays via Aperiodically Intermittent Pinning Control , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[39]  Yonggui Kao,et al.  Anti-windup design for stochastic Markovian switching systems with mode-dependent time-varying delays and saturation nonlinearity , 2017 .

[40]  Jinde Cao,et al.  Adaptive synchronization of uncertain dynamical networks with delayed coupling , 2008 .

[41]  Jinde Cao,et al.  Intermittent control on switched networks via $${\varvec{\omega }}$$ω-matrix measure method , 2014 .

[42]  Y Sun,et al.  Stability of networked control systems with packet dropout: an average dwell time approach , 2011 .

[43]  Jinde Cao,et al.  Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[44]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[45]  Jun Zhao,et al.  Adaptive Variable Structure Control for Uncertain Switched Delay Systems , 2010, Circuits Syst. Signal Process..

[46]  Jinde Cao,et al.  Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control , 2018, Neurocomputing.

[47]  Yun Zou,et al.  Finite-time stability of switched nonlinear systems with finite-time unstable subsystems , 2015, J. Frankl. Inst..

[48]  Jian-an Wang,et al.  Synchronization of delayed complex dynamical network with hybrid-coupling via aperiodically intermittent pinning control , 2017, J. Frankl. Inst..

[49]  Jinde Cao,et al.  Stochastic Synchronization of Complex Networks With Nonidentical Nodes Via Hybrid Adaptive and Impulsive Control , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

[50]  Jinde Cao,et al.  Pinning‐controlled synchronization of hybrid‐coupled complex dynamical networks with mixed time‐delays , 2012 .

[51]  Jinde Cao,et al.  Synchronization of Randomly Coupled Neural Networks With Markovian Jumping and Time-Delay , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[52]  Jinde Cao,et al.  Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling , 2010, IEEE Transactions on Neural Networks.