{"title":"具有时滞的八数值神经网络的有限时间稳定性","authors":"Jingzhuo Wang, Xiwei Liu","doi":"10.1109/YAC53711.2021.9486459","DOIUrl":null,"url":null,"abstract":"In this paper, we study the finite time stability (FTS) of octonion-valued neural networks (OVNNs) with unbounded asynchronous time delays (UADs) by adopting two-phases-method (2PM) and 2-norm. Without employing traditional decomposition method or supposing the terms with delays are bounded, and utilizing a new sign function for octonion, we design the controller with only two terms only depending on the present system state, which can cut down redundancy in calculation and reasoning, and the controller would be much easier to realize in practical situations. Moreover, the adaptive FTS of OVNNs is also realized. Finally, two numerical examples are also given.","PeriodicalId":107254,"journal":{"name":"2021 36th Youth Academic Annual Conference of Chinese Association of Automation (YAC)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Finite Time Stability of Octonion-Valued Neural Networks With Delays\",\"authors\":\"Jingzhuo Wang, Xiwei Liu\",\"doi\":\"10.1109/YAC53711.2021.9486459\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the finite time stability (FTS) of octonion-valued neural networks (OVNNs) with unbounded asynchronous time delays (UADs) by adopting two-phases-method (2PM) and 2-norm. Without employing traditional decomposition method or supposing the terms with delays are bounded, and utilizing a new sign function for octonion, we design the controller with only two terms only depending on the present system state, which can cut down redundancy in calculation and reasoning, and the controller would be much easier to realize in practical situations. Moreover, the adaptive FTS of OVNNs is also realized. Finally, two numerical examples are also given.\",\"PeriodicalId\":107254,\"journal\":{\"name\":\"2021 36th Youth Academic Annual Conference of Chinese Association of Automation (YAC)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 36th Youth Academic Annual Conference of Chinese Association of Automation (YAC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/YAC53711.2021.9486459\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 36th Youth Academic Annual Conference of Chinese Association of Automation (YAC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/YAC53711.2021.9486459","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite Time Stability of Octonion-Valued Neural Networks With Delays
In this paper, we study the finite time stability (FTS) of octonion-valued neural networks (OVNNs) with unbounded asynchronous time delays (UADs) by adopting two-phases-method (2PM) and 2-norm. Without employing traditional decomposition method or supposing the terms with delays are bounded, and utilizing a new sign function for octonion, we design the controller with only two terms only depending on the present system state, which can cut down redundancy in calculation and reasoning, and the controller would be much easier to realize in practical situations. Moreover, the adaptive FTS of OVNNs is also realized. Finally, two numerical examples are also given.