On the Classical Solutions of Infinite-dimensional Linear Systemswith State and Input Delays

MEI Zhandong; MAO Hefeng

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On the Classical Solutions of Infinite-dimensional Linear Systemswith State and Input Delays

MEI Zhandong * #,MAO Hefeng

School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049

*Correspondence author

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Funding: Natural Science Foundation of China（No.11301412, 11131006）, Specialized Research Fund for the Doctoral Program of Higher Education （No.20130201120053）

Opened online: 4 May 2017

Accepted by: none

Citation: MEI Zhandong,MAO Hefeng.On the Classical Solutions of Infinite-dimensional Linear Systemswith State and Input Delays[OL]. [ 4 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4727712

This paper is concerned with infinite-dimensional linear systems with state and input delays. It is proved that the classical solution of such delayed system is also associated to the classical solution of abstract linear control system. Moreover, a weaker sufficient conditions is introduced for the existence of classical solution.

Keywords:Classical solution; Delay equations; Abstract linearcontrol system

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