On a representation of the limit occupational measures set of a control system with applications to singularly perturbed control systems

被引：49

作者：

Gaitsgory, V ^{[1
]}

机构：

[1] Univ S Australia, Sch Math, Mawson Lakes, SA 5095, Australia

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2004年 / 43卷 / 01期

关键词：

singularly perturbed control systems; occupational measures; averaging method; limit occupational measures sets; approximation of slow motions;

D O I：

10.1137/S0363012903424186

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A representation of the limit occupational measures set of a control system in terms of the vector function de. ning the system's dynamics is established. Applications in averaging of singularly perturbed control systems are demonstrated.

引用

页码：325 / 340

页数：16

共 48 条

[1] Asymptotic optimization of a nonlinear hybrid system governed by a Markov decision process [J].

Altman, E ;

Gaitsgory, V .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (06) :2070-2085

[2] Viscosity solutions methods for singular perturbations in deterministic and stochastic control [J].

Alvarez, O ;

Bardi, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 40 (04) :1159-1188

[3]

[Anonymous], 1999, DIFFERENTIAL EQUATIO

[4]

[Anonymous], CONTINUOUS TIME MARK

[5]

[Anonymous], AVERAGING SYSTEMS DI

[6]

[Anonymous], CONTROL SYSTEMS FAST

[7]

[Anonymous], PERTURBATION METHODS

[8]

[Anonymous], J DYN CONTROL SYST

[9]

Artstein Z, 1997, SIAM J CONTROL OPTIM, V35, P1487

[10] The value function of singularly perturbed control systems [J].

Artstein, Z ;

Gaitsgory, V .

APPLIED MATHEMATICS AND OPTIMIZATION, 2000, 41 (03) :425-445

← 1 2 3 4 5 →