{"title":"基于固定时间ZNN模型的非粒子形态跟踪问题","authors":"Peng Miao , Shuai Li , Chenghang Li","doi":"10.1016/j.matcom.2025.04.039","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"238 ","pages":"Pages 189-200"},"PeriodicalIF":4.4000,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tracking problem of non-particle morphology based on fixed-time ZNN model\",\"authors\":\"Peng Miao , Shuai Li , Chenghang Li\",\"doi\":\"10.1016/j.matcom.2025.04.039\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":49856,\"journal\":{\"name\":\"Mathematics and Computers in Simulation\",\"volume\":\"238 \",\"pages\":\"Pages 189-200\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics and Computers in Simulation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378475425001776\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Computers in Simulation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378475425001776","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Tracking problem of non-particle morphology based on fixed-time ZNN model
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.
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.