On necessary optimality conditions in discrete control systems

被引：14
|
作者：
Mardanov, M. J. [1 ]
Melikov, T. K. [1 ,2 ]
Mahmudov, N. I. [3 ]
机构：
[1] NASA, Inst Math & Mech, Baku, Azerbaijan
[2] NASA, Inst Control Syst, Baku, Azerbaijan
[3] Eastern Mediterranean Univ, TRNC, Gazimagusa 10, Mersin, Turkey
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2015年 / 88卷 / 10期
关键词：
discrete system; optimality conditions; maximum principle; optimal control; MAXIMUM PRINCIPLE; 2ND-ORDER;
D O I：
10.1080/00207179.2015.1035756
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The paper deals with a nonlinear discrete-time optimal control problem with a cost functional of terminal type. Using a new variation of the control and new properties of optimal controls, we prove the linearised optimality conditions extending such classical optimality conditions. Along with this, various optimality conditions of quasi-singular controls are obtained. Finally, the examples illustrating the rich content of the obtained results are illustrated.
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页码：2097 / 2106
页数：10
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