{"title":"构造线性低阶非色散波最优控制的算子矩阵","authors":"Is Ukwosa, Sa Reju","doi":"10.4314/JONAMP.V11I1.40212","DOIUrl":null,"url":null,"abstract":"Non-dispersive waves propagate with constant phase velocities therefore they are indispensable in communication and some other areas of application. This paper constructed the Operator, R, for the control of linear lower order non-dispersive wave equation using the extended conjugate gradient Method proposed in [2]. The work of Ibiejugba et al, [3] was on the role of multipliers in the multiplier method which was applied to dynamical system. This work involves system governed by first order partial differential equation, namely linear lower order non-dispersive wave. JONAMP Vol. 11 2007: pp. 191-198","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"386 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Constructing the operator matrix for the optimal control of linear lower order non-dispersive waves\",\"authors\":\"Is Ukwosa, Sa Reju\",\"doi\":\"10.4314/JONAMP.V11I1.40212\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Non-dispersive waves propagate with constant phase velocities therefore they are indispensable in communication and some other areas of application. This paper constructed the Operator, R, for the control of linear lower order non-dispersive wave equation using the extended conjugate gradient Method proposed in [2]. The work of Ibiejugba et al, [3] was on the role of multipliers in the multiplier method which was applied to dynamical system. This work involves system governed by first order partial differential equation, namely linear lower order non-dispersive wave. JONAMP Vol. 11 2007: pp. 191-198\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"386 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40212\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40212","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
非色散波以恒定的相速度传播,因此在通信和其他一些应用领域是不可缺少的。本文利用[2]中提出的扩展共轭梯度法构造了控制线性低阶非色散波动方程的算子R。Ibiejugba等人的工作是关于乘法器在应用于动力系统的乘法器中的作用。本工作涉及一阶偏微分方程控制的系统,即线性低阶非色散波。JONAMP Vol. 11 2007: pp. 191-198
Constructing the operator matrix for the optimal control of linear lower order non-dispersive waves
Non-dispersive waves propagate with constant phase velocities therefore they are indispensable in communication and some other areas of application. This paper constructed the Operator, R, for the control of linear lower order non-dispersive wave equation using the extended conjugate gradient Method proposed in [2]. The work of Ibiejugba et al, [3] was on the role of multipliers in the multiplier method which was applied to dynamical system. This work involves system governed by first order partial differential equation, namely linear lower order non-dispersive wave. JONAMP Vol. 11 2007: pp. 191-198