Finite-time synchronization for memristor-based neural networks with time-varying delays

Abdurahman, Abdujelil; Jiang, Haijun; Teng, Zhidong

doi:10.1016/j.neunet.2015.04.015

Cited by 185 publications

(55 citation statements)

References 24 publications

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“…In the following, the fixed-time synchronization conditions are addressed in terms of LMIs between the system (3) and (4). For this purpose, we adopt the following discontinuous feedback controller which includes the integral terms: …”

Section: Remark 31 the Function F I (·) We Choose In This Paper Is Cmentioning

confidence: 99%

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Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

Zhao

2018

Adv Differ Equ

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This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

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Section: Remark 31 the Function F I (·) We Choose In This Paper Is Cmentioning

confidence: 99%

“…Such a wide range of applications attract considerable attention from many scholars to the dynamical behavior of the networks. Up to now, many significant works with respect to NNs have been reported; see [4][5][6][7][8][9], and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

Zhao

2018

Adv Differ Equ

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“…References [24][25][26][27][28] discussed the finite-time synchronization of neural networks, which only considered integer-order systems.…”

Section: Then Master System (3) Is Synchronized With Slave System (5)mentioning

confidence: 99%

“…In order to achieve faster synchronization in control systems, an effective finite-time control method is utilized. Some important results on finitetime synchronization were demonstrated on integer-order systems [24][25][26][27][28]. Note that time delay [29][30][31] occurs in many physical and engineering systems.…”

Section: Introductionmentioning

confidence: 99%

New Methods of Finite-Time Synchronization for a Class of Fractional-Order Delayed Neural Networks

Zhang

Cao

Alsaedi

et al. 2017

Mathematical Problems in Engineering

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Finite-time synchronization for a class of fractional-order delayed neural networks with fractional order , 0 < ≤ 1/2 and 1/2 < < 1, is investigated in this paper. Through the use of Hölder inequality, generalized Bernoulli inequality, and inequality skills, two sufficient conditions are considered to ensure synchronization of fractional-order delayed neural networks in a finitetime interval. Numerical example is given to verify the feasibility of the theoretical results.

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“…Introduction of delay in the system enriches its dynamics and allows a precise description of the real life phenomena. Then the time-delayed chaotic systems and its synchronization become a hot topic in nonlinear science [27][28][29]. For instance, Botmart et al considered the synchronization of non-autonomous integer order chaotic systems with timevarying delay based on the delayed feedback control [30].…”

Section: Introductionmentioning

confidence: 99%

Generalized Synchronization of Fractional Order Chaotic Systems with Time-Delay

Wang¹

2016

IJMEA

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Abstract:Generalized synchronization of time-delayed fractional order chaotic systems is investigated. According to the stability theorem of linear fractional differential systems with multiple time-delays, a nonlinear fractional order controller is designed for the synchronization of systems with identical and non-identical derivative orders. Both complete synchronization and projective synchronization also can be realized based on the proposed controller. The effectiveness and robustness of the controller are verified in the numerical simulations.

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Finite-time synchronization for memristor-based neural networks with time-varying delays

Cited by 185 publications

References 24 publications

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

New Methods of Finite-Time Synchronization for a Class of Fractional-Order Delayed Neural Networks

Generalized Synchronization of Fractional Order Chaotic Systems with Time-Delay

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