4.7 Article

Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

Almost periodic solutions in distribution of Clifford-valued stochastic recurrent neural networks with time-varying delays

Yongkun Li et al.

Summary: This paper investigates the existence and global exponential stability of almost periodic solutions in distribution for a class of Clifford-valued stochastic recurrent neural networks with time-varying delays using the non-decomposition method. The study establishes the existence and uniqueness of almost periodic solutions using Banach fixed point theorem and inequality techniques, and proves the global exponential stability of the unique solution through the contradiction method.

CHAOS SOLITONS & FRACTALS (2021)

Article Computer Science, Artificial Intelligence

(μ,ν)-Pseudo Almost Automorphic Solutions of Neutral Type Clifford-Valued High-Order Hopfield Neural Networks with D Operator

Chaouki Aouiti et al.

Summary: This article studies neutral type Clifford-valued high-order Hopfield neural networks with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of solutions via Banach's fixed point principle and differential inequality techniques. An example is provided to demonstrate the effectiveness of the main new criteria.

NEURAL PROCESSING LETTERS (2021)

Article Computer Science, Interdisciplinary Applications

Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating D operator

Chuangxia Huang et al.

Summary: This article examines a class of high-order proportional delayed cellular neural networks incorporating D operator, confirming the boundedness and global existence of positive solutions, and establishing conditions for the positivity and global exponential stability of pseudo almost periodic solutions of the models. A numerical example is provided to validate the effectiveness and feasibility of the theoretical findings. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

Article Computer Science, Artificial Intelligence

On μ-Pseudo Almost Periodic Solutions for Clifford-Valued Neutral Type Neural Networks With Delays in the Leakage Term

Yongkun Li et al.

Summary: In this study, a class of Clifford-valued neutral type neural networks with delays in the leakage term is proposed. Sufficient conditions for the existence and global exponential stability of mu-pseudo almost periodic solutions are obtained using a direct method, and a numerical example is provided to demonstrate the feasibility of the results.

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2021)

Article Mathematics, Applied

PSEUDO COMPACT ALMOST AUTOMORPHY OF NEUTRAL TYPE CLIFFORD-VALUED NEURAL NETWORKS WITH MIXED DELAYS

Yongkun Li et al.

Summary: In this study, a class of neutral type Clifford-valued cellular neural networks with discrete delays and infinitely distributed delays is considered. The existence and uniqueness of (mu, nu)-pseudo compact almost automorphic solutions of the networks are established, and the global exponential stability of the solution is investigated using differential inequality techniques. The theoretical findings are illustrated with an example and are shown to be novel even when the networks are degenerated into real-valued, complex-valued, or quaternion-valued networks.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)

Article Mathematics, Applied

Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales

Xiaofang Meng et al.

Summary: This paper discusses a class of quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales. By utilizing the Banach fixed point theorem and theory of calculus on time scales, sufficient conditions for the existence and global exponential stability of pseudo almost periodic solutions for these networks are obtained. The results presented in this paper are entirely novel, with an example provided to demonstrate the effectiveness of the findings.

AIMS MATHEMATICS (2021)

Article Automation & Control Systems

New Results on Exponential Stability of Competitive Neural Networks with Multi-Proportional Delays

Jiali Qin et al.

ASIAN JOURNAL OF CONTROL (2020)

Article Computer Science, Artificial Intelligence

Piecewise Pseudo Almost-Periodic Solutions of Impulsive Fuzzy Cellular Neural Networks with Mixed Delays

Chaouki Aouiti et al.

NEURAL PROCESSING LETTERS (2020)

Article Computer Science, Artificial Intelligence

Sp Almost Periodic Solutions of Clifford-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays

Shiping Shen et al.

NEURAL PROCESSING LETTERS (2020)

Article Mathematics, Applied

Stability of antiperiodic recurrent neural networks with multiproportional delays

Chuangxia Huang et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Computer Science, Artificial Intelligence

(μ, ν)-pseudo almost periodic solutions of Clifford-valued high-order HNNs with multiple discrete delays

Yongkun Li et al.

NEUROCOMPUTING (2020)

Article Computer Science, Artificial Intelligence

Exponential Stability of Pseudo Almost Periodic Solutions for Fuzzy Cellular Neural Networks with Time-Varying Delays

Yi Tang

NEURAL PROCESSING LETTERS (2019)

Article Mathematics, Interdisciplinary Applications

Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

Yongkun Li et al.

COMPLEXITY (2019)

Article Computer Science, Artificial Intelligence

Pseudo Almost Periodic Solutions for Fuzzy Cellular Neural Networks with Multi-proportional Delays

Jiaxin Liang et al.

NEURAL PROCESSING LETTERS (2018)

Article Computer Science, Artificial Intelligence

Pseudo Almost Periodic Shunting Inhibitory Cellular Neural Networks with Multi-proportional Delays

Yi Tang

NEURAL PROCESSING LETTERS (2018)

Article Computer Science, Artificial Intelligence

Pseudo almost periodic solutions of discrete-time neutral-type neural networks with delays

Fanchao Kong et al.

APPLIED INTELLIGENCE (2018)

Article Computer Science, Artificial Intelligence

Exponential Stability of Pseudo Almost Periodic Solutions for Cellular Neural Networks with Multi-Proportional Delays

Yuehua Yu

NEURAL PROCESSING LETTERS (2017)

Article Computer Science, Artificial Intelligence

Almost periodic solutions for fuzzy cellular neural networks with multi-proportional delays

Zuda Huang

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS (2017)

Article Engineering, Mechanical

Global stability of Clifford-valued recurrent neural networks with time delays

Yang Liu et al.

NONLINEAR DYNAMICS (2016)

Article Computer Science, Artificial Intelligence

Global exponential stability of Clifford-valued recurrent neural networks

Jingwen Zhu et al.

NEUROCOMPUTING (2016)

Article Computer Science, Artificial Intelligence

On Clifford neurons and Clifford multi-layer perceptrons

Sven Buchholz et al.

NEURAL NETWORKS (2008)