An occupational measure solution to a singularly perturbed optimal control problem

被引:0
作者
Artstein, Z [1 ]
机构
[1] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel
来源
CONTROL AND CYBERNETICS | 2002年 / 31卷 / 03期
关键词
singular perturbations; optimal control; infinite horizon; limit occupational measures;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Employing limit occupational measures, we provide an explicit solution to a singularly perturbed optimal control problem for which the order reduction method does not apply.
引用
收藏
页码:623 / 642
页数:20
相关论文
共 15 条
[1]  
[Anonymous], 2018, Mathematical Theory of Optimal Processes
[2]   Invariant measures of differential inclusions applied to singular perturbations [J].
Artstein, Z .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 152 (02) :289-307
[3]   Linear-quadratic tracking of coupled slow and fast targets [J].
Artstein, Z ;
Gaitsgory, V .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1997, 10 (01) :1-30
[4]  
Artstein Z, 1997, SIAM J CONTROL OPTIM, V35, P1487
[5]   Singularly perturbed ordinary differential equations with dynamic limits [J].
Artstein, Z ;
Vigodner, A .
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 :541-569
[6]  
Artstein Z, 2000, IEEE DECIS CONTR P, P564, DOI 10.1109/CDC.2000.912824
[7]  
Billingsley P, 1968, CONVERGE PROBAB MEAS
[8]  
CARLSON DA, 1991, OPTIMAL CONTROL INFI
[9]   SUBOPTIMAL CONTROL OF SINGULARLY PERTURBED SYSTEMS AND PERIODIC OPTIMIZATION [J].
GAITSGORY, V .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (06) :888-903
[10]   SUBOPTIMIZATION OF SINGULARLY PERTURBED CONTROL-SYSTEMS [J].
GAITSGORY, V .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (05) :1228-1249