Tracking problem of non-particle morphology based on fixed-time ZNN model

IF 4.4 2区 数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Peng Miao , Shuai Li , Chenghang Li
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引用次数: 0

Abstract

This article examines a particular tracking challenge where targets and trackers cannot be conceptualized as static points and are continuously rotating. This poses difficulties in determining the shortest distance between them. To rapidly and precisely ascertain this minimal distance, we formulate an optimization problem. Subsequently, a fixed-time zeroing neural network (ZNN) model is devised to address this optimization challenge. Moreover, the fixed-time stability of the proposed network is established and an estimation of a relatively smaller upper bound of convergence time (UBCT) is derived from previous iterations. Furthermore, the sensitivity of parameters to UBCT is also given. Finally, a specific tracking scenario demonstrates the efficacy and superior performance of our approach.
基于固定时间ZNN模型的非粒子形态跟踪问题
本文研究了一个特殊的跟踪挑战,其中目标和跟踪器不能被概念化为静态点,并且不断旋转。这给确定它们之间的最短距离带来了困难。为了快速准确地确定这个最小距离,我们制定了一个优化问题。随后,设计了固定时间归零神经网络(ZNN)模型来解决这一优化挑战。此外,建立了网络的定时稳定性,并从之前的迭代中得到了相对较小的收敛时间上界(UBCT)的估计。此外,还给出了参数对UBCT的敏感性。最后,一个特定的跟踪场景证明了我们的方法的有效性和优越的性能。
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来源期刊
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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