Pinning Impulsive Synchronization of Fractional Complex Dynamical Networks

Dynamical Networks ◽

Impulsive Synchronization ◽

In this paper, a class of fractional complex dynamical networks is synchronized via pinning impulsive control. At first, a comparison principle is established for fractional impulsive differential equations. Then the synchronization criterion is obtained by using the derived comparison principle. Examples are given to illustrate the results.

2012 12th International Conference on Control Automation Robotics & Vision (ICARCV) ◽

On pinning impulsive control of complex dynamical networks

10.1109/icarcv.2012.6485127 ◽

2012 ◽

Author(s):

Wen Sun ◽

Jinhu Lu ◽

Okyay Kaynak ◽

Maciej J. Ogorzalek

Keyword(s):

Impulsive Control ◽

Dynamical Networks ◽

Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.02.041 ◽

2017 ◽

Vol 307 ◽

pp. 217-231 ◽

Cited By ~ 11

Author(s):

R. Rakkiyappan ◽

G. Velmurugan ◽

J. Nicholas George ◽

R. Selvamani

Keyword(s):

Impulsive Control ◽

Exponential Synchronization ◽

Dynamical Networks ◽

Finite-time synchronization of nonlinear complex dynamical networks on time scales via pinning impulsive control

Neurocomputing ◽

10.1016/j.neucom.2017.10.033 ◽

2018 ◽

Vol 275 ◽

pp. 2104-2110 ◽

Cited By ~ 22

Author(s):

Xiaodong Lu ◽

Xianfu Zhang ◽

Qingrong Liu

Keyword(s):

Time Scales ◽

Finite Time ◽

Time Synchronization ◽

Impulsive Control ◽

Dynamical Networks ◽

Delay-dependent cluster synchronization of time-varying complex dynamical networks with noise via delayed pinning impulsive control

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2021.02.004 ◽

2021 ◽

Vol 358 (6) ◽

pp. 3193-3214

Author(s):

Guang Ling ◽

Xinzhi Liu ◽

Ming-Feng Ge ◽

Yonghong Wu

Keyword(s):

Impulsive Control ◽

Cluster Synchronization ◽

Time Varying ◽

Dynamical Networks ◽

Delay Dependent ◽

Adaptive Synchronization of Complex Dynamical Networks via Distributed Pinning Impulsive Control

Neural Processing Letters ◽

10.1007/s11063-020-10373-x ◽

2020 ◽

Vol 52 (3) ◽

pp. 2669-2686

Author(s):

Dong Ding ◽

Ze Tang ◽

Yan Wang ◽

Zhicheng Ji

Keyword(s):

Impulsive Control ◽

Adaptive Synchronization ◽

Dynamical Networks ◽

Impulsive Control and Synchronization of Nonlinear Dynamical Systems and Application to Secure Communication

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127497000443 ◽

1997 ◽

Vol 07 (03) ◽

pp. 645-664 ◽

Cited By ~ 135

Author(s):

Tao Yang ◽

Leon O. Chua

Keyword(s):

Dynamical Systems ◽

Differential Equations ◽

Secure Communication ◽

Impulsive Control ◽

Nonlinear Dynamical Systems ◽

Nonlinear Dynamical System ◽

Impulsive Differential Equations ◽

Channel Noise ◽

Nonlinear Dynamical ◽

Impulsive Synchronization

Impulsive control is a newly developed control theory which is based on the theory of impulsive differential equations. In this paper, we stabilize nonlinear dynamical systems using impulsive control. Based on the theory of impulsive differential equations, we present several theorems on the stability of impulsive control systems. An estimation of the upper bound of the impulse interval is given for the purpose of asymptotically controlling the nonlinear dynamical system to the origin by using impulsive control laws. In this paper, impulsive synchronization of two nonlinear dynamical systems is reformulated as impulsive control of the synchronization error system. We then present a theorem on the asymptotic synchronization of two nonlinear systems by using synchronization impulses. The robustness of impulsive synchronization to additive channel noise and parameter mismatch is also studied. We conclude that impulsive synchronization is more robust than continuous synchronization. Combining both conventional cryptographic method and impulsive synchronization of chaotic systems, we propose a new chaotic communication scheme. Computer simulation results based on Chua's oscillators are given.