Results 11 to 20 of about 711 (141)
Exponential Stability of Periodic Solutions for Inertial Type BAM Cohen‐Grossberg Neural Networks [PDF]
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 The existence and exponential stability of periodic solutions for inertial type BAM Cohen‐Grossberg neural networks are investigated. First, by properly choosing variable substitution, the system is transformed to first order differential equation.
Chunfang Miao, Yunquan Ke, Zidong Wang
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Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 This paper is concerned with the mean‐square exponential input‐to‐state stability problem for a class of stochastic Cohen‐Grossberg neural networks. Different from prior works, neutral terms and mixed delays are discussed in our system. By employing the Lyapunov‐Krasovskii functional method, Itô formula, Dynkin formula, and stochastic analysis theory ...
Tianqing Yang +3 more
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Global Exponential Stability of a Discrete‐Time Rayleigh System with Delays
Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 This paper deals with the problem of global exponential stability for a discrete‐time Rayleigh system with delays. By using the mathematical induction method, some sufficient conditions are proposed for the global exponential stability of the discrete‐time Rayleigh system.
Bangyu Shen, Carmen Coll
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this work, we mainly focus on uncertain delayed neural network system with inertial term. Here, the existence, uniqueness, and exponential stability of inertial neural networks are derived without shifting the second order differential system into first order through substituting variables.
M. Iswarya +6 more
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Complexity, Volume 2021, Issue 1, 2021., 2021 Further results on the robustness of the global exponential stability of recurrent neural network with piecewise constant arguments and neutral terms (NPRNN) subject to uncertain connection weights are presented in this paper. Estimating the upper bounds of the two categories of interference factors and establishing a measuring mechanism for uncertain ...
Wenxiao Si, Tao Xie, Biwen Li, Yue Song
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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In the current work, we are devoted to the issue of uniform stability of fractional‐order quaternion‐valued neural networks involving discrete and leakage delays. Making use of the contracting mapping theory, we prove that the equilibrium point of the involved fractional‐order quaternion‐valued neural networks exists and is unique.
Bingjun Li, Bingnan Tang, Lifeng Wu
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An improved stability result for delayed Takagi-Sugeno fuzzy Cohen-Grossberg neural networks
, 2021 This work proposes a novel and improved delay independent global asymptotic stability criterion for delayed Takagi-Sugeno (T-S) fuzzy Cohen-Grossberg neural networks exploiting a suitable fuzzy-type Lyapunov functional in the presence of the ...
Orman, Zeynep
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Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 A class of quaternion‐valued fuzzy cellular neural networks with time‐varying delays on time scales is proposed. Based on inequality analysis techniques on time scales, a fixed point theorem and the theory of calculus on time scales, the existence, and global exponential stability of anti‐periodic solutions for this class of neural networks are ...
Shiping Shen +3 more
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, 2023 This article investigates a generalized type of multistability about almost periodic solutions for memristive Cohen–Grossberg neural networks (MCGNNs).
Liu, X, Mu, C, Shen, Y, Wen, S, Zhu, S
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Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017 A new global asymptotic stability criterion of Takagi‐Sugeno fuzzy Cohen‐Grossberg neural networks with probabilistic time‐varying delays was derived, in which the diffusion item can play its role. Owing to deleting the boundedness conditions on amplification functions, the main result is a novelty to some extent.
Xiongrui Wang +3 more
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