Second-Variation Methods in Periodic Optimization

被引：27

作者：

Bittanti, S. ^{[1
]}

Locatelli, A. ^{[1
]}

Maffezzoni, C. ^{[1
]}

机构：

[1] Polytech Milan, Inst Electrotech & Elect, Milan, Italy

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 01期

关键词：

Calculus of variations; control theory; Hamilton-Jacobi equation; periodic processes; Riccati equation;

D O I：

10.1007/BF00933173

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：

The periodic optimization of continuous dynamical systems is considered in this paper. Sufficient conditions for the optimality of a control function are established first. Then, the problem of finding the perturbations to be given to the nominal optimal control in order to preserve optimality under small parameter variations is stated and solved. Finally, the existence of periodic solution of the Riccati-type equations which are involved in the above problems is discussed.

引用

页码：31 / 49

页数：19

共 17 条

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[4] FJELD M, 1969, AUTOMATICA, V5
[5] Gantmacher F.R., 1959, THEORY MATRICES
[6] Status of Periodic Optimization of Dynamical Systems
Guardabassi, G.
Locatelli, A.
Rinaldi, S.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1974, 14 (01) : 1 - 20
[7] Guardabassi G., 1971, RICERCHE AUTOMATICA, V2
[8] Halanay A., 1966, DIFF EQUAT+
[9] HORN FJM, 1968, J OPTIMIZATION THEOR, V2
[10] HORN FJM, 1967, I EC PROCESS DESIGN, V6

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