Optimal Control for a System on a Unit Simplex in Infinite Time

被引：0

作者：

O. A. Kuzenkov

E. A. Ryabova

机构：

[1] Nizhni Novgorod State University,

来源：

Automation and Remote Control | 2005年 / 66卷

关键词：

Differential Equation; Mechanical Engineer; Control Variable; Partial Differential Equation; System Theory;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Optimal control for a semilinear system of first-order partial differential equations in infinite time is studied. The values of control variables belong to a finite-dimensional unit simplex at every instant at every point of the space. Necessary and sufficient conditions for the quality criterion of optimal control to be absolutely maximal are formulated.

引用

页码：1594 / 1602

页数：8

共 6 条

[1]

Chekland P.(1985)From Optimizing to Learning a Development of Systems Thinking for the 1990-s J. Oper. Res. Soc. 36 757-767

[2]

Kuzenkov O.A.(1998)Systems of Estimation of an Objective Criterion Vestn. Nizh. Novgorod. Gos. Univ., Mat. Modelir. Optimal. Upravl. 1 116-125

[3]

Kuzenkov O.A.(1999)A First-Order Hyperbolic System on a Finite-Dimensional Simplex Vestn. Nizh. Novgorod. Gos. Univ., Mat. Modelir. Optimal. Upravl. 2 138-144

[4]

Ryabova E.A.(1999)Solution of a Class of First-Order Nonlinear Partial Differential Equations Vestn. Nizh. Novgorod. Gos. Univ., Mat. Modelir. Optimal. Upravl. 1 63-72

[5]

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[6]

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