Compactness of the set of trajectories of the controllable system described by an affine integral equation

被引：12

作者：

Huseyin, Nesir ^{[1
]}

Huseyin, Anar ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 16期

关键词：

Affine integral equation; Controllable system; Integral constraint; Set of trajectories;

D O I：

10.1016/j.amc.2013.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the control system with integral constraint on the controls is studied. It is assumed that the behavior of the system is described by an affine Volterra integral equation which is nonlinear with respect to the state vector and is linear with respect to the control vector. The closed ball of the space L-p (p > 1) with radius mu(0) and centered at the origin, is chosen as the set of admissible control functions. It is proved that the set of trajectories is abounded, closed, precompact and hence compact subset of the space of continuous functions. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：8416 / 8424

页数：9

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