{"title":"具有非瞬时脉冲、延迟和变连接权的离散神经网络的指数稳定性","authors":"S. Hristova, K. Stefanova","doi":"10.12732/ijam.v33i2.1","DOIUrl":null,"url":null,"abstract":"The exponential stability concept for nonlinear non-instantaneous impulsive difference equations with a single delay is studied and some criteria are derived. These results are also applied for a neural networks with switching topology at certain moments and long time lasting impulses. It is considered the general case of time varying connection weights. The equilibrium is defined and exponential stability is studied. The obtained results are illustrated on examples. AMS Subject Classification: 39A30, 39A60","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"20 1","pages":"187"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"EXPONENTIAL STABILITY OF DISCRETE NEURAL NETWORKS WITH NON-INSTANTANEOUS IMPULSES, DELAYS AND VARIABLE CONNECTION WEIGHTS WITH COMPUTER SIMULATION\",\"authors\":\"S. Hristova, K. Stefanova\",\"doi\":\"10.12732/ijam.v33i2.1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The exponential stability concept for nonlinear non-instantaneous impulsive difference equations with a single delay is studied and some criteria are derived. These results are also applied for a neural networks with switching topology at certain moments and long time lasting impulses. It is considered the general case of time varying connection weights. The equilibrium is defined and exponential stability is studied. The obtained results are illustrated on examples. AMS Subject Classification: 39A30, 39A60\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"20 1\",\"pages\":\"187\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v33i2.1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v33i2.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
EXPONENTIAL STABILITY OF DISCRETE NEURAL NETWORKS WITH NON-INSTANTANEOUS IMPULSES, DELAYS AND VARIABLE CONNECTION WEIGHTS WITH COMPUTER SIMULATION
The exponential stability concept for nonlinear non-instantaneous impulsive difference equations with a single delay is studied and some criteria are derived. These results are also applied for a neural networks with switching topology at certain moments and long time lasting impulses. It is considered the general case of time varying connection weights. The equilibrium is defined and exponential stability is studied. The obtained results are illustrated on examples. AMS Subject Classification: 39A30, 39A60
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