ESTIMATION OF DELAYS AND OTHER PARAMETERS IN NON-LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS

被引：27

作者：

BANKS, HT

LAMM, PKD

机构：

[1] SO METHODIST UNIV,DEPT MATH,DALLAS,TX 75275

[2] NASA,LANGLEY RES CTR,INST COMP APPLICAT SCI & ENGN,HAMPTON,VA 23665

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1983年 / 21卷 / 06期

关键词：

D O I：

10.1137/0321054

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 spline-based approximation scheme for nonlinear nonautonomous delay differential equations is discussed. Convergence results (using dissipative type estimates on the underlying nonlinear operators) are given in the context of parameter estimation problems which include estimation of multiple delays and initial data as well as the usual coefficient-type parameters. A brief summary of some related numerical findings is also given.

引用

页码：895 / 915

页数：21

共 16 条

[1] SPLINE APPROXIMATIONS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

BANKS, HT ;

KAPPEL, F .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 34 (03) :496-522

[2] HEREDITARY CONTROL PROBLEMS - NUMERICAL-METHODS BASED ON AVERAGING APPROXIMATIONS [J].

BANKS, HT ;

BURNS, JA .

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

[3] PARAMETER-ESTIMATION AND IDENTIFICATION FOR SYSTEMS WITH DELAYS [J].

BANKS, HT ;

BURNS, JA ;

CLIFF, EM .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1981, 19 (06) :791-828

[4]

BANKS HT, 1982, 1980 P INT C NONL PH, P47

[5]

BANKS HT, 1981, 20TH P IEEE C DEC CO, P228

[6]

BANKS HT, 1979, LCDS797 BROWN U TECH

[7]

BANKS HT, UNPUB J MATH ANAL AP

[8]

Barbu V., 1976, NONLINEAR SEMIGROUPS

[9]

DANIEL PL, 1981, THESIS BROWN U PROVI

[10]

DANIEL PL, UNPUB J OPT THEORY A

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