Global <inline-formula> 
                     <tex-math notation="LaTeX">$H_\infty $ </tex-math>
                  </inline-formula> Pinning Synchronization of Complex Networks With Sampled-Data Communications

This study addresses the problem of output quasisynchronization for coupled complex-valued memristive reaction-diffusion complex networks via the distributed event-triggered control scheme. First, by using the separate method, set value mapping, and intermediate value theorem, the complex-valued memristive reaction-diffusion complex networks can be transferred into two semi-uncertain real-valued reaction-diffusion complex networks. Second, a distributed output piecewise event-triggered control (OPETC) scheme with spatial sampled-data is first proposed including a spatial sampling event-triggered generator and spatiotemporal sampling state feedback controller. Furthermore, this scheme can effectively save the measurement resources and lower the update rate of controllers in spatial and time domain. Third, the synchronization analysis is considered by utilizing an appropriate Lyapunov function, the Halanay inequality, and the improved Wirtinger inequality. Subsequently, several output event-triggered quasisynchronization criteria are derived. The relations among event trigger conditions, spatial sampling interval, convergence rate, and control gain are given by rigorous mathematical derivation. Finally, multiple simulations are compared to substantiate the validation of the OPETC scheme.

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Sampled-Data State Estimation for Complex Networks With Partial Measurements

IEEE Transactions on Systems Man and Cybernetics Systems ◽

10.1109/tsmc.2018.2865097 ◽

2020 ◽

Vol 50 (11) ◽

pp. 4787-4795

Author(s):

Dan-Dan Zhou ◽

Bin Hu ◽

Zhi-Hong Guan ◽

Chang-Xin Cai ◽

Ding-Xue Zhang ◽

...

Keyword(s):

Complex Networks ◽

State Estimation ◽

Sampled Data

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${\cal H}_{\infty}$ Pinning Synchronization of Directed Networks With Aperiodic Sampled-Data Communications

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2014.2334871 ◽

2014 ◽

Vol 61 (11) ◽

pp. 3245-3255 ◽

Cited By ~ 90

Author(s):

Guanghui Wen ◽

Wenwu Yu ◽

Michael Z. Q. Chen ◽

Xinghuo Yu ◽

Guanrong Chen

Keyword(s):

Data Communications ◽

Sampled Data ◽

Directed Networks

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Pinning synchronization control of complex networks with partial couplings

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651819898339 ◽

2020 ◽

pp. 095965181989833

Author(s):

Yanzhou Li ◽

Yishan Liu ◽

Yuanqing Wu ◽

Shenghuang He

Keyword(s):

Complex Networks ◽

Linear Matrix ◽

Sampled Data ◽

Lower And Upper Bounds ◽

Target Node ◽

Decoupling Method ◽

Synchronization Problem ◽

Sampling Intervals ◽

Wirtinger’S Inequality ◽

Theoretical Results

In this article, the pinning synchronization problem of complex networks with a target node via sampled-data communications is considered. Due to partial couplings among the nodes in complex networks, a decoupling method is adopted to investigate each channel of complex networks independently. By constructing a time-dependent Lyapunov function, it is proved that the pinning synchronization of complex networks with a target node can be achieved if the control parameters are appropriately selected. Furthermore, further study is needed to investigate the pinning synchronization of complex networks in the presence of constant delay. A novel criterion is obtained using Jensen’s inequality and Wirtinger’s inequality. It is worth noting that the lower and upper bounds of the sampling intervals can be calculated by linear matrix inequality box of MATLAB. Theoretical results are well verified through a numerical simulation.

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