A new switching control for finite-time synchronization of memristor-based recurrent neural networks

Gao, Jie; Zhu, Ping; Alsaedi, Ahmed; Alsaadi, Fuad E.; Hayat, Tasawar

doi:10.1016/j.neunet.2016.10.008

Cited by 58 publications

(29 citation statements)

References 35 publications

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“…be a bounded domain with smooth boundary. Suppose that u 0 ∈ W 1,∞ (Ω) is a non-negative function and that D(u) satisfies (2) and (3). Let χ, µ, q, α and γ be given positive parameters satisfying q ≥ 1 and γ ≥ 1.…”

Section: Yilong Wang and Xuande Zhangmentioning

confidence: 99%

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On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion

Wang¹,

Zhang²

2020

Discrete &Amp; Continuous Dynamical Systems - S

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This paper considers the following parabolic-elliptic chemotaxisgrowth system with nonlinear diffusion ut = ∇ • (D(u)∇u) − ∇ • (χu q ∇v) + µu(1 − u α), x ∈ Ω, t > 0, 0 = ∆v − v + u γ , x ∈ Ω, t > 0 under homogeneous Neumann boundary conditions for some constants q ≥ 1, α > 0 and γ ≥ 1, where D(u) ≥ c D u m−1 (m ≥ 1) for all u > 0 and D(u) > 0 for all u ≥ 0, and Ω ⊂ R N (N ≥ 1) is a bounded domain with smooth boundary. It is shown that when m > q + γ − 2 N , or α > q + γ − 1, or α = q + γ − 1 and µ > µ * , where µ * = (α+1−m)N −2 (α+1−m)N +2(α−γ) χ, if m ≤ q + γ − 2 N , 0, if m > q + γ − 2 N , then the above system possesses a global bounded classical solution for any sufficiently smooth initial data. The results improve the results by Wang et al.

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Section: Yilong Wang and Xuande Zhangmentioning

confidence: 99%

“…In view of various biological phenomena and the environment for the cells, many variants of the Keller-Segel model have been developed and investigated (see [2,7,9,14,15,18,17,16,22,27,11,12,26,13,19,20,21,23] and the references therein, for instance). And other scholars study topological dynamics and control (see [24,25,3], for instance).…”

mentioning

confidence: 99%

On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion

Wang¹,

Zhang²

2020

Discrete &Amp; Continuous Dynamical Systems - S

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“…Some conclusions about CVNNs have been obtained in [ 3 , 4 ]. Since the physical implementation of the nanoscale memristor in 2008 [ 5 ], memristor-based neural networks (MNNs) have attracted a remarkable amount of attention [ 6 , 7 , 8 , 9 , 10 , 11 ], owing to their memory characteristics and nanometer dimensions. Therefore, it is important to research the properties of MNNs which play a significant role in the system design.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis for Memristor-Based Complex-Valued Neural Networks with Time Delays

Hou

Gao

et al. 2019

Entropy

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In this paper, the problem of stability analysis for memristor-based complex-valued neural networks (MCVNNs) with time-varying delays is investigated extensively. This paper focuses on the exponential stability of the MCVNNs with time-varying delays. By means of the Brouwer's fixed-point theorem and M-matrix, the existence, uniqueness, and exponential stability of the equilibrium point for MCVNNs are studied, and several sufficient conditions are obtained. In particular, these results can be applied to general MCVNNs whether the activation functions could be explicitly described by dividing into two parts of the real parts and imaginary parts or not. Two numerical simulation examples are provided to illustrate the effectiveness of the theoretical results.

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“…It has many applications such as in secure communication [1][2][3][4], neural network [5][6][7][8][9], and chemical route [10]. A lot of researches on memristive chaotic (hyperchaotic) system have been reported, for example, global synchronization [11], state estimation [12], time delay [13], and adaptive synchronization [14] of the memristive chaotic system.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Implementation of a New Switching Memristor Scroll Hyperchaotic System and Application in Secure Communication

et al. 2018

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This paper proposed a novel switching scroll hyperchaotic system based on a memristor device and explored its application to secure communication. The new system could be switched between the double-scroll chaotic system and multiscroll one by switch S1 and switch S2. We gave the construction process of the novel system, its numerical simulations, and dynamical properties, firstly. Moreover, the memristive circuit implementation of the new switching system was presented and the results were also in agreement with those of numerical simulation. Finally, the new switching memristive system was applied to secure communication by means of the drive-response synchronization with chaotic masking. When the voice signal is a rising waveform, it is encrypted by the double-scroll memristive system. When the voice signal is a falling waveform, the multiscroll memristive system works. The voice signal is completely submerged in the chaotic signal and could not be distinguished at all. Security analyses show that it is a successful application to secure communication.

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A new switching control for finite-time synchronization of memristor-based recurrent neural networks

Cited by 58 publications

References 35 publications

On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion

On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion

Stability Analysis for Memristor-Based Complex-Valued Neural Networks with Time Delays

Analysis and Implementation of a New Switching Memristor Scroll Hyperchaotic System and Application in Secure Communication

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