混合时滞随机中立型模糊惯性神经网络的定时镇定

IF 2.7 1区 数学 Q2 COMPUTER SCIENCE, THEORY & METHODS
Wenxiang Fang , Tao Xie , Quanxin Zhu , Tingwen Huang
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引用次数: 0

摘要

研究了一类具有混合时滞和无界激活函数的随机中立型模糊惯性神经网络的定时镇定问题。利用随机分析和先进的不等式技术,我们建立了几个充分条件,保证所考虑的模型在反馈和自适应控制方案下的定时稳定性。至关重要的是,这些稳定性准则的制定与激活函数的上界无关,这大大拓宽了它们在更大范围内具有无界非线性的系统中的适用性。并对相应的沉降时间进行了分析估计。最后通过数值仿真验证了所提控制器的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Fixed time stabilization of stochastic neutral-type fuzzy inertial neural network with mixed delays

Fixed time stabilization of stochastic neutral-type fuzzy inertial neural network with mixed delays
This paper investigates the fixed-time stabilization problem for a class of stochastic neutral-type fuzzy inertial neural networks subject to mixed delays and unbounded activation functions. Leveraging stochastic analysis and advanced inequality techniques, we establish several sufficient conditions guaranteeing fixed-time stability of the considered model under both feedback and adaptive control schemes. Crucially, these stability criteria are formulated independently of the upper bounds of the activation functions, significantly broadening their applicability to a wider range of systems with unbounded nonlinearities. Moreover, the corresponding settling times associated are analytically estimated. Numerical simulations are finally presented to validate the effectiveness of both proposed controllers.
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来源期刊
Fuzzy Sets and Systems
Fuzzy Sets and Systems 数学-计算机:理论方法
CiteScore
6.50
自引率
17.90%
发文量
321
审稿时长
6.1 months
期刊介绍: Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.
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