Almost periodic synchronization of quaternion-valued fuzzy cellular neural networks with leakage delays

Wang, Pan; Li, Xuechen; Wang, Nan; Li, Yuanyuan; Shi, Kaibo; Lu, Jianquan

doi:10.1016/j.fss.2021.02.019

Cited by 34 publications

(18 citation statements)

References 39 publications

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“…T a � ∞. When 0 < T a < ∞, it was proposed in [29] and then was applied in [19][20][21][22][23][26][27][28]. e case of T a � ∞ was proposed in [30] when impulses occur infinitely but sparsely.…”

Section: Definition 2 Suppose That the Signed Graphmentioning

confidence: 99%

“…In particular, synchronization, as a typical collective behavior, has been widely studied by many researchers through different control methods, for example, feedback control [4,5], adaptive control [6][7][8], event-triggered control [9][10][11], and impulsive control [12][13][14][15][16][17][18]. Among these methods, impulsive control, as a form of discontinuous control [19], has advantages of low cost and high efficiency and so has been widely used in many fields, such as the population growth model [19] and neural networks [20]. Particularly, a distributed impulsive controller was proposed in [21] and successfully applied to synchronization of a leaderless network.…”

Section: Introductionmentioning

confidence: 99%

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Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

et al. 2021

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This study investigates the bipartite synchronization of heterogeneous signed networks with distributed impulsive control. Leader-follower bipartite synchronization within a nonzero error bound is analyzed when the average impulsive interval is T a < ∞ or T a = ∞ . Some sufficient conditions to achieve the bipartite quasi-synchronization are presented, and the synchronization error level is estimated by the specific mathematical expression. The correctness of the theoretical results is verified by numerical examples.

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Section: Definition 2 Suppose That the Signed Graphmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

et al. 2021

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“…Similar to the traditional time delays, the leakage delay and distributed delays also has a significant impact on the dynamics of NNs. Hence, when we study the stability of NNs, it is necessary to consider the leakage delay [36][37][38][39][40][41]. On the other hand, recent studies have used various integral inequalities to deal with integral terms in the real domain.…”

Section: Introductionmentioning

confidence: 99%

Non-separation method-based global stability criteria for Takagi-Sugeno fuzzy quaternion-valued BAM delayed neural networks using quaternion-valued auxiliary function-based integral inequality

Sriraman

Kwon

2023

Preprint

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This paper examines the global asymptotic stability of Takagi-Sugeno fuzzy quaternion-valued BAM neural networks with discrete, distributed and leakage delays using non-separation method. By applying Takagi-Sugeno fuzzy models , we first consider a general form of Takagi-Sugeno fuzzy quaternion-valued BAM neural networks with time delays. Then, we apply the Cauchy-Schwarz algorithm and homeomorphism principle in order to establish the existence and uniqueness of the equilibrium point. By using appropriate Lyapunov-Krasovskii functionals and quaternion-valued auxiliary function-based integral inequality, we derive new delay-dependent global asymptotic stability conditions for the considered neural networks. Furthermore, we present our results in terms of quaternion-valued linear matrix inequalities that can be solved in the MATLAB YALMIP toolbox. To demonstrate the validity of the theoretical analysis, we provide two numerical evaluations with simulations.

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“…In 2020, Li et al 13 studied a class of fractional quaternion‐valued neural networks with leakage delays. In 2021, Wang et al 14 studied the periodic synchronization of quaternion‐valued fuzzy cellular neural networks with leakage delays by using Banach fixed point theorem. In 2019, Wei et al 15 studied the fixed‐time synchronization of quaternion‐valued memristor‐based neural networks with time delays.…”

Section: Introductionmentioning

confidence: 99%

Exponential synchronization of quaternion‐valued memristor‐based neural networks with time‐varying delays

Cheng

Shi

2023

Adaptive Control & Signal

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Summary In this paper, the global exponential synchronization of quaternion‐valued memristor‐based neural networks with time‐varying delays is discussed. Firstly, by using the differential inclusion theory and the set‐valued map theory, the discontinuous quaternion‐valued memristive neural networks is transformed into an uncertain system with interval parameters. A novel controller is designed to achieve the control goal. With the ω$$ \omega $$‐measure method and Halanay inequality, the criterion for global exponential synchronization of the quaternion‐valued memristive neural networks is given. At last, a numerical simulation is given to prove the validity of the main results.

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Almost periodic synchronization of quaternion-valued fuzzy cellular neural networks with leakage delays

Cited by 34 publications

References 39 publications

Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

Bipartite Synchronization of Heterogeneous Signed Networks with Distributed Impulsive Control

Non-separation method-based global stability criteria for Takagi-Sugeno fuzzy quaternion-valued BAM delayed neural networks using quaternion-valued auxiliary function-based integral inequality

Exponential synchronization of quaternion‐valued memristor‐based neural networks with time‐varying delays

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