Singular characteristics in optimal control and differential games

被引：0

作者：

Melikyan, AA ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech, Moscow 117526, Russia

来源：

NONLINEAR CONTROL SYSTEMS DESIGN 1998, VOLS 1& 2 | 1998年

关键词：

optimal control; differential games; singular characteristics; differential geometric methods; nonlinear partial differential equations; Hamilton-Jacobi equation;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For arbitrary first order PDE the notion of singular characteristics is introduced, which, particularly, is related to Hamilton-Jacobi, Bellman-Isaacs equation in Optimal Control and Differential Games. Singular characteristics are effective for the construction of singular paths and surfaces. The ODE systems of singular characteristics are derived for several types of singular surfaces. Copyright (C) 1998 IFAC.

引用

页码：97 / 99

页数：3

共 5 条

[1]

Bardi M., 2008, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

[2]

Isaacs R., 1965, DIFFERENTIAL GAMES

[3]

Melikyan A. A., 1998, Generalized Characteristics of First Order: Applications in Optimal Control and Differential Games

[4] NECESSARY OPTIMALITY CONDITIONS FOR A SINGULAR SURFACE IN THE FORM OF SYNTHESIS [J].

MELIKYAN, AA .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 82 (02) :203-217

[5]

Subbotin A.I., 1995, Generalized Solutions of First Order PDEs: The Dynamical Optimization Perspective, DOI DOI 10.1007/978-1-4612-0847-1

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