Hybrid time-varying delay projective synchronization in complex dynamical networks

In this paper, a hybrid time-varying delay projective synchronization method for a complex dynamical network is proposed using a hybrid feedback controller. The existing synchronous errors of the delay projective synchronization are constant. However, the synchronous errors of the time-varying delay projective synchronization show time-varying delay. The time-varying delay projective synchronization improves the delay projective synchronization and the different component variables of the system of the node achieve a different time-varying delay projective synchronization. This paper researches the hybrid time-varying delay projective synchronization of two different types of complex dynamical network. Numerical simulations are given to demonstrate the effectiveness of the proposed synchronization scheme.

[1]  Diyi Chen,et al.  Chaotic synchronization and anti-synchronization for a novel class of multiple chaotic systems via a sliding mode control scheme , 2012 .

[2]  Fuzhong Nian,et al.  Projective Synchronization of Two Different Dimensional Nonlinear Systems , 2013 .

[3]  Zhiliang Zhu,et al.  Modified Projective Synchronization between Different Fractional-Order Systems Based on Open-Plus-Closed-Loop Control and Its Application in Image Encryption , 2014 .

[4]  Guoqiang Hu,et al.  Pinning Synchronization of Directed Networks With Switching Topologies: A Multiple Lyapunov Functions Approach , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Chengren Li,et al.  Lag projective synchronization of a class of complex network constituted nodes with chaotic behavior , 2014, Commun. Nonlinear Sci. Numer. Simul..

[6]  Hong-yong Yang,et al.  Chaos Synchronization of General Complex Dynamical Networks with Coupling Delays , 2006, 2006 6th World Congress on Intelligent Control and Automation.

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

[8]  Kso Jo.  Comparison of backstepping and modified active control in projective synchronization of chaos in an extended Bonhöffer-van der Pol oscillator , 2013 .

[9]  Mohammad Ali Khan,et al.  Projective synchronization of chaotic systems with bidirectional nonlinear coupling , 2013 .

[10]  Subir Das,et al.  Projective synchronization between different fractional‐order hyperchaotic systems with uncertain parameters using proposed modified adaptive projective synchronization technique , 2014 .

[11]  Fuzhong Nian,et al.  PROJECTIVE SYNCHRONIZATION IN CHAOTIC COMPLEX SYSTEM WITH TIME DELAY , 2013 .

[12]  Emad E. Mahmoud,et al.  On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications , 2013 .

[13]  Mohammad Teshnehlab,et al.  Modified projective synchronization of unknown chaotic dissipative gyroscope systems via Gaussian radial basis adaptive variable structure control , 2013 .

[14]  Chun-Lai Li,et al.  Tracking control and generalized projective synchronization of a class of hyperchaotic system with unknown parameter and disturbance , 2012 .

[15]  Liping Chen,et al.  Inverse Projective Synchronization between Two Different Hyperchaotic Systems with Fractional Order , 2012, J. Appl. Math..

[16]  Guanghui Wen,et al.  Event-Triggered Master–Slave Synchronization With Sampled-Data Communication , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[17]  Xingyuan Wang,et al.  Adaptive Full State Hybrid Projective Synchronization in the Identical and Different Cyqy Hyper-Chaotic Systems , 2014 .

[18]  Diyi Chen,et al.  Application of Takagi–Sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization , 2013 .

[19]  Fangfang Zhang,et al.  Modified projective synchronization with complex scaling factors of uncertain real chaos and complex chaos , 2013 .

[20]  M. M'Saad,et al.  Fuzzy adaptive observer-based projective synchronization for nonlinear systems with input nonlinearity , 2012 .

[21]  Yongjian Liu,et al.  A New Fractional-Order Chaotic System and Its Synchronization with Circuit Simulation , 2012, Circuits, Systems, and Signal Processing.

[22]  Zidong Wang,et al.  Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[23]  Ke Qin,et al.  Projective synchronization of different chaotic neural networks with mixed time delays based on an integral sliding mode controller , 2014, Neurocomputing.

[24]  Hao Dai,et al.  Finite-time generalized function matrix projective lag synchronization of coupled dynamical networks with different dimensions via the double power function nonlinear feedback control method , 2014 .

[25]  Xingyuan Wang,et al.  Adaptive hybrid complex projective synchronization of chaotic complex system , 2014 .

[26]  Emad E. Mahmoud,et al.  Analytical and Numerical Study of the Projective Synchronization of the Chaotic Complex Nonlinear Systems with Uncertain Parameters and Its Applications in Secure Communication , 2014 .

[27]  Guanrong Chen,et al.  Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics , 2014, J. Frankl. Inst..

[28]  Haijun Jiang,et al.  Projective synchronization for fractional neural networks , 2014, Neural Networks.

[29]  Dibakar Ghosh,et al.  Projective synchronization of time-varying delayed neural network with adaptive scaling factors , 2013 .

[30]  Fuzhong Nian,et al.  HIGH PRECISION FAST PROJECTIVE SYNCHRONIZATION FOR CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS , 2013 .

[31]  Xia Huang,et al.  Sliding mode synchronization of chaotic and hyperchaotic systems with mismatched fractional derivatives , 2013 .

[32]  Chao Luo,et al.  Hybrid modified function projective synchronization of two different dimensional complex nonlinear systems with parameters identification , 2013, J. Frankl. Inst..