An operator theory of linear functional differential equations
An operator theory of linear functional differential equations
复制标题
线性泛函微分方程算子理论
DOI：
10.1016/0022-0396(78)90034-7
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发表时间：
1978
影响因子：
2.4
通讯作者：
E. Kamen
中科院分区：
文献类型：
--
作者：
E. Kamen
一种基于卷积环和模的算子理论，针对具有有限和无限延迟的延迟类型的各类一阶向量泛函微分方程而发展。通过将初始数据合并到算子框架中，以一种新颖的方式处理完整解决方案的存在和构造。然后获得指数稳定性和渐近稳定性的结果。算子框架也应用于状态反馈的研究。通过反馈给出了频谱可分配性和稳定性的建设性结果。
An operator theory, based on convolution rings and modules, is developed for various classes of first-order vector functional differential equations of the retarded type with finite and infinite delays. The existence and construction of complete solutions is approached in a novel manner by incorporating initial data into the operator framework. Results are then obtained on exponential and asymptotic stability. The operator framework is also applied to the study of state feedback. Constructive results on spectrum assignability and stabilizability by feedback are given.