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Xu H, Li B. Pseudo almost periodic solutions for Clifford-valued neutral-type fuzzy neural networks with multi-proportional delay and D operator1. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2022. [DOI: 10.3233/jifs-221017] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Abstract
In this paper, a class of Clifford-valued neutral fuzzy neural-type networks with proportional delay and D operator and whose self feedback coefficients are also Clifford numbers are considered. By using the Banach fixed point theorem and some differential inequality techniques, we directly study the existence and global asymptotic stability of pseudo almost periodic solutions by not decomposing the considered Clifford-valued systems into real-valued systems. Finally, two examples are given to illustrate our main results. Our results of this paper are new.
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Affiliation(s)
- Huili Xu
- School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan, China
| | - Bing Li
- School of Mathematics and Computer Science, Yunnan Nationalities University, Kunming, Yunnan, China
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Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays. MATHEMATICS 2021. [DOI: 10.3390/math9243306] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
In this paper, Clifford-valued fuzzy neural networks with proportional delays, whose leakage term coefficients are also Clifford numbers, are considered. Based on the Banach fixed point theorem and differential inequality technique, we use a direct method to obtain the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for the considered networks. Finally, we provide a numerical example to illustrate the feasibility of our results. Our results are new.
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Jiang Q, Wang QR. Almost periodic solutions for quaternion-valued neural networks with mixed delays on time scales. Neurocomputing 2021. [DOI: 10.1016/j.neucom.2020.09.063] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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State Estimation of Quaternion-Valued Neural Networks with Leakage Time Delay and Mixed Two Additive Time-Varying Delays. Neural Process Lett 2020. [DOI: 10.1007/s11063-019-10178-7] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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$$S^{p}$$-Almost Periodic Solutions of Clifford-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays. Neural Process Lett 2020. [DOI: 10.1007/s11063-019-10176-9] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Piecewise Pseudo Almost-Periodic Solutions of Impulsive Fuzzy Cellular Neural Networks with Mixed Delays. Neural Process Lett 2019. [DOI: 10.1007/s11063-019-10130-9] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
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Tang Y, Wang Z, Long Z. Pseudo almost periodic solutions for neutral-type FCNNs with D operator and time-varying delays. J EXP THEOR ARTIF IN 2018. [DOI: 10.1080/0952813x.2018.1546771] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Yi Tang
- College of Mathematics and Computational Science, Hunan First Normal University, Changsha, Hunan, PR China
| | - Zengyun Wang
- College of Mathematics and Computational Science, Hunan First Normal University, Changsha, Hunan, PR China
| | - Zhiwen Long
- College of mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi, Hunan, PR China
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