Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

Zhao, Yang; Cai, Yi; Fan, Guobing

doi:10.22436/jnsa.009.06.97

Cited by 8 publications

(3 citation statements)

References 18 publications

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“…Caputo derivative was employed to reach the exponential stability, in Refs. [32,171,232], the uniform stability in [76,79,[233][234][235][236][237][238][239][240][241][242], the finite-time stability in Refs. [75,85,103,175,[243][244][245][246][247][248], the stability and bifurcation in Refs.…”

Section: Ann Involved With Fc To Reach Stabilitymentioning

confidence: 99%

“…Adaptive impulsive control Complex-valued FANN Caputo derivative [232] Interval projection FANN [271] Delayed BAM FANN Uniform stability [241] FANN [237] FANN with and without delays [76,242] Delayed FANN [240] Hopfield FANN [239] Memristive FANN [272] Delayed memristive FANN Caputo derivative [273] Delayed memristive fuzzy BAM FANN [238] Cellular FANN [79,233,234] Delayed complex-valued FANN [235,236] Delayed BAM FANN [274] Delayed BAM FANN Finite-time Stability [248] FANN [75,85,246,275] Delayed FANN [247] Delayed FANN [112,243,276] Delayed complex-valued FANN [277] Delayed complex-valued memristive FANN [244] Delayed complex-valued memristive FANN Caputo derivative [175] Cohen-Grossberg memristive FANN [245] Delayed Cohen-Grossberg FANN [89] Delayed Hopfield FANN [207] Delayed BAM FANN [103] Delayed BAM FANN Global stability [28] FANN [59] BAM FANN [278] Delayed BAM FANN [62] Fuzzy FANN [38,256] Hopfield FANN [86] Delayed Hopfield FANN Caputo derivative [16] Memristive FANN…”

Section: Global Synchronizationmentioning

confidence: 99%

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Artificial neural networks: a practical review of applications involving fractional calculus

Viera-Martin

Gómez-Aguilar

Solís-Pérez

et al. 2022

Eur. Phys. J. Spec. Top.

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In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional calculus (FC) theory has been developed to summarize the main features and applications of the ANNs. ANN is a mathematical modeling tool used in several sciences and engineering fields. FC has been mainly applied on ANNs with three different objectives, such as systems stabilization, systems synchronization, and parameters training, using optimization algorithms. FC and some control strategies have been satisfactorily employed to attain the synchronization and stabilization of ANNs. To show this fact, in this manuscript are summarized, the architecture of the systems, the control strategies, and the fractional derivatives used in each research work, also, the achieved goals are presented. Regarding the parameters training using optimization algorithms issue, in this manuscript, the systems types, the fractional derivatives involved, and the optimization algorithm employed to train the ANN parameters are also presented. In most of the works found in the literature where ANNs and FC are involved, the authors focused on controlling the systems using synchronization and stabilization. Furthermore, recent applications of ANNs with FC in several fields such as medicine, cryptographic, image processing, robotic are reviewed in detail in this manuscript. Works with applications, such as chaos analysis, functions approximation, heat transfer process, periodicity, and dissipativity, also were included. Almost to the end of the paper, several future research topics arising on ANNs involved with FC are recommended to the researchers community. From the bibliographic review, we concluded that the Caputo derivative is the most utilized derivative for solving problems with ANNs because its initial values take the same form as the differential equations of integer-order.

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Section: Ann Involved With Fc To Reach Stabilitymentioning

confidence: 99%

Section: Global Synchronizationmentioning

confidence: 99%

Artificial neural networks: a practical review of applications involving fractional calculus

Viera-Martin

Gómez-Aguilar

Solís-Pérez

et al. 2022

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

show abstract

“…The development and utilization of renewable energy, such as wind energy, biomass energy and solar energy, is an important way to save fossil energy and solve environmental pollution [1][2]. At present, the solar low-temperature hot water system and solar photovoltaic power generation system applications have been rapid development [3][4].…”

Section: Introductionmentioning

confidence: 99%

Study on Three Dimensional Heat Transfer Model of Segmented PVT Module

2017

IJRTER

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Abstract-PVT-hot components are as PVT cogeneration core equipment in the system, whose optical and thermal performance is an important factor affecting the system design and operation. Therefore, the paper innovatively presents the segmented PVT-hot water components based on the previous basic research work.This optimization design of the technology through the structure of absorber established a novel three-dimensional heat transfer model of segmented PVT components, and realized the system heat production control in the operation mode.According to different purposes a variety of refrigerant is achieved in the system running at the same time and different control.Keywords-segmented PVT components; 3D; heat transfer model; Laplace transform I. INTRODUCTIONThe development and utilization of renewable energy, such as wind energy, biomass energy and solar energy, is an important way to save fossil energy and solve environmental pollution [1][2]. At present, the solar low-temperature hot water system and solar photovoltaic power generation system applications have been rapid development [3][4]. In some areas, the economic and energy saving effects of home solar water heating systems have emerged [5]. Independent and grid connected photovoltaic power generation system is technically mature, but because of the high cost of power generation system, it is necessary to reduce the cost of photovoltaic power generation system to achieve. A new solar collector is called PVT, which combines photovoltaic power generation and solar thermal utilization at low temperature [6].The concept of collector in 1970s was put forward by literature, but it was not until nearly ten years of PVT collector was more and more attention, mainly because of the efficiency of the solar cell efficiency and solar collector efficiency with the increase of PVT collector is improved, and a new design of the PVT set the heat exchanger performance improvements. The main components of PVT collector for solar cell and a heat collecting plate, in order to reduce the heat loss of the heat collector, usually installed one or two layers of glass cover in the top of the battery, and on the back edge of a certain thickness of the insulation layer, all the parts finally as one with a metal frame package. At present, PVT heat collectors are reported to be flat and convergent. The flat plate PVT collector is simple in structure and can be processed on the basis of common heat collector, and it is easy to combine with building. Therefore, its research is wider than that of concentrator PVT collector. Depending on the cooling fluid of the collector, the PVT collector can be divided into a PVT liquid collector using water as a cooling fluid and an PVT air collector with air as a cooling fluid. In addition, the PVT collector can be divided into a covered PVT. collector and a non -cover collector.PVT collector using laminated or adhesive technology will be solar cell components and solar collector in combination when the solar cell power generation, because the inciden...

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Research on the Application of Block Chain Technology in Military Supply Chain

Zhang-yi

2018

Advances in Intelligent Systems and Computing

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Dynamical behavior for fractional-order shunting inhibitory cellular neural networks

Cited by 8 publications

References 18 publications

Artificial neural networks: a practical review of applications involving fractional calculus

Artificial neural networks: a practical review of applications involving fractional calculus

Study on Three Dimensional Heat Transfer Model of Segmented PVT Module

Research on the Application of Block Chain Technology in Military Supply Chain

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