EXISTENCE THEOREMS FOR HEREDITARY LAGRANGE AND MAYER PROBLEMS OF OPTIMAL CONTROL

被引：6

作者：

ANGELL, TS ^{[1
]}

机构：

[1] UNIV DELAWARE,DEPT MATH,NEWARK,DE 19711

来源：

SIAM JOURNAL ON CONTROL | 1976年 / 14卷 / 01期

关键词：

D O I：

10.1137/0314001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Existence theorems are proved for optimal solutions in control systems governed by functional differential equations. A model for abstract hereditary systems, formulated by J. K. Hale and M. A. Cruz is used, which subsumes functional differential equations of finitely retarded type, equations of neutral type which are linear in dx/dt, as well as a large class of Volterra integral equations. Using this model, an abstract hereditary control system is defined. Several existence theorems are then proved for optimal control problems of the types of Lagrange and Mayer.

引用

页码：1 / 18

页数：18

共 21 条

[1]

Angell T. S., 1971, Journal of Optimization Theory and Applications, V7, P149, DOI 10.1007/BF00932473

[2]

ANGELL TS, TO BE PUBLISHED

[3]

ANGELL TS, 1969, THESIS U MICHIGAN

[4] CONTROL OF FUNCTIONAL DIFFERENTIAL EQUATIONS OF RETARDED AND NEUTRAL TYPE TO TARGET SETS IN FUNCTION SPACE [J].