APPROXIMATION OF NON-LINEAR FUNCTIONAL-DIFFERENTIAL EQUATION CONTROL-SYSTEMS

被引：58

作者：

BANKS, HT

机构：

[1] Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 29卷 / 03期

关键词：

approximation techniques; Functional differential equations; nonlinear control problems; semigroups;

D O I：

10.1007/BF00933142

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We develop a general approximation framework for use in optimal control problems governed by nonlinear functional differential equations. Our approach entails only the use of linear semigroup approximation results, while the nonlinearities are treated as perturbations of a linear system. Numerical results are presented for several simple nonlinear optimal control problem examples. © 1979 Plenum Publishing Corporation.

引用

页码：383 / 408

页数：26

共 14 条

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[2]

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BANKS, HT ;

BURNS, JA .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1978, 16 (02) :169-208

[4]

BANKS HT, 1976, SEM IRIA AN CONTR SY, P5

[5]

BANKS HT, 1975, LCDS756 BROWN U TECH

[6]

BANKS HT, 1975, LCDS751 BROWN U LECT

[7] TIME LAG IN POPULATION GROWTH RESPONSE OF ISOCHRYSIS GALBANA TO A VARIABLE NITRATE ENVIRONMENT [J].

CAPERON, J .

ECOLOGY, 1969, 50 (02) :188-&

[8]

Cryer C. W, 1972, DELAY FUNCTIONAL DIF, P17

[9]

KAPPEL F, UNPUBLISHED

[10]

Luenberger D.G., 1997, OPTIMIZATION VECTOR

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