Adaptive finite-time cluster synchronization of neutral-type coupled neural networks with mixed delays

In this letter, a general model of an array of N linearly coupled chaotic neural networks with hybrid coupling is proposed, which is composed of constant coupling, time-varying delay coupling and distributed delay coupling. The complex network jumps from one mode to another according to a Markovian chain with known transition probability. Both the coupling time-varying delays and the coupling distributed delays terms are mode-dependent. By the adaptive feedback technique, several sufficient criteria have been proposed to ensure the synchronization in an array of jump chaotic neural networks with mode-dependent hybrid coupling and mixed delays in mean square. Finally, numerical simulations illustrated by mode switching between two complex networks of different structure dependent on mode switching verify the effectiveness of the proposed results.

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Finite-Time Synchronization of Complex-Valued Neural Networks with Mixed Delays and Uncertain Perturbations

Neural Processing Letters ◽

10.1007/s11063-017-9590-x ◽

2017 ◽

Vol 46 (1) ◽

pp. 271-291 ◽

Cited By ~ 53

Author(s):

Chao Zhou ◽

Wanli Zhang ◽

Xinsong Yang ◽

Chen Xu ◽

Jianwen Feng

Keyword(s):

Neural Networks ◽

Finite Time ◽

Time Synchronization ◽

Mixed Delays ◽

Complex Valued

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Finite-time stability of neutral-type neural networks with random time-varying delays

International Journal of Systems Science ◽

10.1080/00207721.2017.1367434 ◽

2017 ◽

Vol 48 (15) ◽

pp. 3279-3295 ◽

Cited By ~ 5

Author(s):

M. Syed Ali ◽

S. Saravanan ◽

Quanxin Zhu

Keyword(s):

Neural Networks ◽

Finite Time ◽

Neutral Type ◽

Random Time ◽

Time Varying ◽

Time Stability ◽

Finite Time Stability

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Synchronization of time-varying time delayed neutral-type neural networks for finite-time in complex field

Mathematical Modeling and Computing ◽

10.23939/mmc2021.03.486 ◽

2021 ◽

Vol 8 (3) ◽

pp. 486-498

Author(s):

N. Jayanthi ◽

◽

R. Santhakumari ◽

Keyword(s):

Neural Networks ◽

Finite Time ◽

State Feedback ◽

Neutral Type ◽

State Feedback Control ◽

Projective Synchronization ◽

Time Varying ◽

Master System ◽

Complex Valued ◽

Theoretical Results

This paper deals with the problem of finite-time projective synchronization for a class of neutral-type complex-valued neural networks (CVNNs) with time-varying delays. A simple state feedback control protocol is developed such that slave CVNNs can be projective synchronized with the master system in finite time. By employing inequalities technique and designing new Lyapunov--Krasovskii functionals, various novel and easily verifiable conditions are obtained to ensure the finite-time projective synchronization. It is found that the settling time can be explicitly calculated for the neutral-type CVNNs. Finally, two numerical simulation results are demonstrated to validate the theoretical results of this paper.

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