New results on the general decay synchronization of delayed neural networks with general activation functions

Abdurahman, Abdujelil

doi:10.1016/j.neucom.2017.11.036

Cited by 20 publications

(24 citation statements)

References 21 publications

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“…Defining (t) = [e T (t), z T (t), f T (e(t)), f T (e(t)), e T (t − (t))] T and introducing above inequalities (17)- (27) into the derivative of the V(t), we obtain…”

Section: Resultsmentioning

confidence: 99%

“…Remark For the synchronization conditions given in other works, the time delays assumed to be constant delays or time‐varying delays that are differentiable such that their derivatives are not greater than one. Note that, in our assumption H 1 , those restrictions are removed in this paper, which means that our established results have a wider applicability.…”

Section: Numerical Simulationsmentioning

confidence: 99%

“…Therefore, realizing synchronization between master‐salve chaotic systems via introducing an output feedback controller is more desirable and indeed very important in both theory and applications, which is yet a quite challenging problem . On the other hand, as mentioned in other works, it is a very interesting problem to find estimate of the convergent rate of solution for nonlinear systems. However, in some special cases, the convergence rate of the synchronization cannot be shown or it is not easy to estimate .…”

Section: Introductionmentioning

confidence: 99%

“…Even though we know that this equation is asymptotically stable, but we cannot able to estimate the convergent rate of the solution of it. This motivate us to define a new type of convergence rate, such as convergence with general decay …”

Section: Introductionmentioning

confidence: 99%

“…This motivate us to define a new type of convergence rate, such as convergence with general decay. 27,29,30 Furthermore, up to now, though the synchronization behaviors of various INNs with or without delays investigated extensively and many good results have been derived, [16][17][18][19][20]31 there is still a gap need to be filled. For instance, most of the aforementioned works regarded the transferred first-order differential system as a master system and then simply gave the slave system via first-order differential equation where the controllers added to both of the first and second equations of it.…”

mentioning

confidence: 99%

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Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

Abdurahman

Jiang

Sader

2019

Intl J Robust & Nonlinear

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Summary This study is mainly concerned with the general decay synchronization (GDS) problem of a class of inertial neural networks (INNs) with time‐varying delay. First, unlike the methods used in previous relevant literature where both of the master and slave systems were transferred into the first‐order differential equations, only error dynamical system is transferred into the reduced‐order differential equation. Then, by designing a novel nonlinear output feedback controller and constructing suitable Lyapunov functionals, some simple and useful sufficient conditions ensuring the GDS of considered INNs are established via employing useful analysis techniques and linear matrix inequality approach. In addition, two examples are presented to show the effectiveness of the established theoretical results.

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“…Defining (t) = [e T (t), z T (t), f T (e(t)), f T (e(t)), e T (t − (t))] T and introducing above inequalities (17)- (27) into the derivative of the V(t), we obtain…”

Section: Resultsmentioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

Abdurahman

Jiang

Sader

2019

Intl J Robust & Nonlinear

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Delay‐dependent criteria for general decay synchronization of discontinuous fuzzy neutral‐type neural networks with time‐varying delays

Kong

Sakthivel

2020

Intl J Robust & Nonlinear

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This paper aims to investigate the general decay synchronization analysis of discontinuous fuzzy neutral-type neural networks. Under the framework of Filippov solutions, based on functional differential inclusions theory, inequality technique and by constructing a modified delay-dependent Lyapunov-Krasovskii functional, some new delay-dependent criteria are provided to guarantee the general decay synchronization via the effective nonlinear feedback controller. The neural network model considered is more generalized, some previous fuzzy neural networks can be regard as the special cases. Moreover, some recent results on the delay-independent criteria ensuring the general decay synchronization can also be extended and concluded. These can be seen from the given corollaries and remarks which are provided to make the comparisons and show the advantages. Finally, some numerical examples and simulations are provided to illustrate the correctness.

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General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction–diffusion terms

Huang

Hou

Yang

2019

Neural Comput & Applic

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The network models of multi-weighted coupled neural networks (MWCNNs) and multi-weighted coupled reaction-diffusion neural networks (MWCRDN-Ns) with and without delayed coupling are presented in this paper, respectively. Firstly, on account of the definitions of ψ-type stability and ψ-type function, the concept of decay anti-synchronization is proposed. Then, we investigate the decay anti-synchronization of MWC-NNs with and without delayed coupling by designing appropriate nonlinear controllers, and several criteria for ensuring decay anti-synchronization are inferred by means of Lyapunov functional method as well as inequality techniques. Similarly, some conditions for decay anti-synchronization of MWCRDNNs with and without delayed coupling are also respectively derived. Lastly, two numerical examples with simulations are given to validate the correctness of these derived results.

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New results on the general decay synchronization of delayed neural networks with general activation functions

Cited by 20 publications

References 21 publications

Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

Nonlinear output control scheme for general decay synchronization of delayed neural networks with inertial term

Delay‐dependent criteria for general decay synchronization of discontinuous fuzzy neutral‐type neural networks with time‐varying delays

General decay anti-synchronization of multi-weighted coupled neural networks with and without reaction–diffusion terms

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