Vector-valued optimization problems in control theory / M. E. Salukvadze ; translated by John L. Casti.

Format:

Book

Author/Creator:

Salukvadze, M. E. (Mindiia Evgenevich)

Series:

Mathematics in science and engineering ; v.148.

Mathematics in science and engineering ; v.148

Standardized Title:

Zadachi vektornoĭ optimizat͡sii v teorii upravlenii͡a. English

Language:

English

Subjects (All):

Control theory.

Automatic control.

Mathematical optimization.

Vector valued functions.

Physical Description:

1 online resource (231 p.)

Place of Publication:

New York ; Toronto : Academic Press, 1979.

Language Note:

English

Summary:

Vector-valued optimization problems in control theory

Contents:

Front Cover; Vector-Valued Optimization Problems in Control Theory; Copyright Page; Contents; Introduction; Chapter 1. A Survey of Optimization Problems with Vector Criteria; 1.1 General Survey of the Problem; 1.2 The Remarks of L. A. Zadeh; 1.3 Optimization of an Ordered Set of Scalar Criteria; 1.4 Hierarchical Ranking of Scalar Criteria; 1.5 Unimprovable Solutions in the Problem of Vector Optimization (Pareto Optimality); 1.6 The Work of A. Salamma and V. Gourishankar; 1.7 Solutions in Fuzzy Neighborhoods; Chapter 2. The Formulation of Optimization Problems with Vector Functionals

2.1 The General Mathematical Formulation of the Problem2.2 A Statement of Optimal Trajectory Programming Problems with a Vector-Valued Criterion; 2.3 Flight at a Prescribed Altitude; 2.4 Analytic Construction of Optimal Regulators; Chapter 3. The Existence of Solutions in Optimization Problems with Vector-Valued Criteria; 3.1 Formulation of the Existence Problem; 3.2 The Maximum Principle for the Problem of Mayer with a Scalar Functional; 3.3 The Maximum Principle for Vector Optimization Problems; 3.4 The Flight of a Pilotless Aircraft

3.5 On Sufficient Conditions for Problems of Scalar Optimization3.6 On Sufficient Conditions for Problems of Vector Optimization; Chapter 4. Programming Optimal Trajectories for Problems with Vector-Valued Criteria; 4.1 Introduction; 4.2 A General Approach to the Solution of Programming Problems; 4.3 A Simple Second-Order Example; 4.4 On the Problem of Optimal Flight to a Given Location; 4.5 Vertical Flight of a Rocket in a Vacuum; Chapter 5. A. Letov's Problem. The Analytic Construction of Optimal Regulators for Problems with Vector-Valued Criteria; 5.1 The Problem of Analytic Construction

5.2 The Solution of the General ACOR Problem for Vector Functionals by Dynamic Programming5.3 An Example; 5.4 Vector Functionals in Linear ACOR Problems; 5.5 An Example; Chapter 6. The Optimization of Vector Functionals in Linear (Nonlinear) Programming Problems; 6.1 The Linear Programming Problem; 6.2 The General Programming Problem; 6.3 A More General Problem; 6.4 Ordered Sets in Programming Problems; 6.5 A Different Statement of the Linear (Nonlinear) Programming Problem for Vector Criteria; 6.6 Determination of the Vector-Optimal Plan; 6.7 Compromise Solutions

6.8 The Existence of a Vector-Optimal Plan6.9 A Numerical Example of the Determination of a Vector-Optimal Plan; 6.10 A Planning Problem in the Metallurgical Industry; Chapter 7. Parameter Optimization in Engineering Systems; 7.1 Problem Statement; 7.2 The Problem of Parameter Optimization for Heat Exchange in a Nuclear Power Station; 7.3 The Parameter Optimization Problem for the Condenser of the BRGD-1000; 7.4 A Search Algorithm; Bibliography

Notes:

Translation of Zadachi vektornoi optimizatsii v teorii upravleniia.

ISBN:

1-282-29047-9

9786612290473

0-08-095656-4

OCLC:

316549576