Optimization of Semilinear Delay-Differential Inclusions in Infinite-Dimensional Spaces

被引：0
|
作者：
Wang, Lianwen [1 ]
机构：
[1] Univ Cent Missouri, Dept Math & Comp Sci, Warrensburg, MO 64093 USA
来源：
2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2010年
关键词：
Optimization; semilinear delay-differential inclusions; nonlinear variational analysis; discrete approximations; necessary optimality conditions; DISCRETE;
D O I：
10.1109/WCICA.2010.5554351
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is devoted to the study of optimization problems described by a class of semilinear delay-differential inclusions in infinite-dimensional spaces. First, we construct a sequence of discrete-time problems that approximates to the continuous-time problems. Then, we derive necessary optimality conditions for the discrete-time problems by reducing them to a mathematical programming problem in infinite-dimensional spaces. Finally, we establish necessary optimality conditions for the original problem by passing to the limit in the necessary optimality conditions for discrete-time problems.
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页码：2377 / 2382
页数：6
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