Fixed/Predefined time synchronization of fractional quaternion delayed neural networks with disturbances

IF 4.4 2区 数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Mathematics and Computers in Simulation Pub Date : 2025-01-14 DOI:10.1016/j.matcom.2025.01.010
Hai Zhang , Panqing Gao , Renyu Ye , Ivanka Stamova , Jinde Cao
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引用次数: 0

Abstract

The fixed time synchronization (Fix-TS) and predefined time synchronization (Pre-TS) of fractional quaternion delayed neural networks (FQDNNs) with disturbances using fractional sliding mode (FSM) control are investigated. We first introduce an enhanced lemma for fixed time (Fix-T) and predefined time (Pre-T) stability, expanding upon the existing stability theory. Subsequently, we introduce the FQDNNs model with disturbance terms, which is less conservative. By constructing two FSM controllers, we derive several theorems for Fix-TS and Pre-TS, respectively. The concise criterion and accurate setting time are demonstrated through numerical simulations, and graphic visualization directly verifies the results.
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Mathematics and Computers in Simulation
Mathematics and Computers in Simulation 数学-计算机:跨学科应用
CiteScore
8.90
自引率
4.30%
发文量
335
审稿时长
54 days
期刊介绍: The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.
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