ON HAMILTON-JACOBI FORMALISM IN TIME-DELAY CONTROL SYSTEMS

被引：0

作者：

Lukoyanov, N. Yu. ^{[1
,2
]}

机构：

[1] RAS, Ural Branch, Inst Math & Mech, Phys Math Sci, Moscow, Russia

[2] RAS, Ural Branch, Inst Math & Mech, Sect, Moscow, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2010年 / 16卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

time-delay systems; control theory; differential games; dynamic programming; Hamilton-Jacobi equations; minimax solutions; viscosity solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For control problems under disturbances in time-delay systems, methods of de fining the value of optimal guaranteed result and optimal control strategies are considered on the basis of generalized solutions of appropriate functional equations of the Hamilton-Jacobi type.

引用

页码：269 / 277

页数：9

共 16 条

[1] History path dependent optimal control and portfolio valuation and management [J].

Aubin, JP ;

Haddad, G .

POSITIVITY, 2002, 6 (03) :331-358

[2] VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].

CRANDALL, MG ;

LIONS, PL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (01) :1-42

[3]

GARNYSHEVA GG, 1994, PRIKL MAT MEKH, V58, P5

[4]

Kim A. V., 1999, FUNCTIONAL DIFFERENT

[5]

Krasovskii N. N, 1978, MAT SBORNIK, V107, P511

[6]

Krasovskii N. N., 1988, SPRINGER SERIES SOVI

[7]

KRASOVSKII NN, 1976, DOKL AKAD NAUK SSSR+, V226, P1260

[8]

KRASOVSKII NN, 1963, STABILITY MOTION APP

[9]

Lukoyanov NY, 2009, T I MAT MEKH URO RAN, V15, P183

[10]

Lukoyanov NY, 2009, T I MAT MEKH URO RAN, V15, P158

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