Nonlinear Optimal Control Theory

Leonard David Berkovitz, Negash G. Medhin

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English

Chapman & Hall/CRC
14 October 2024

Differential calculus & equations; Power generation & distribution

Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniques in diverse areas.

Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.

By: Leonard David Berkovitz, Negash G. Medhin
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 725g
ISBN: 9781032920672
ISBN 10: 103292067X
Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Pages: 392
Publication Date: 14 October 2024
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Examples of Control Problems. Formulation of Control Problems. Relaxed Controls. Existence Theorems; Compact Constraints. Existence Theorems; Non Compact Constraints. The Maximum Principle and Some of its Applications. Proof of the Maximum Principle. Examples. Systems Governed by Integrodifferential Systems. Hereditary Systems. Bounded State Problems. Hamilton-Jacobi Theory. Bibliography. Index.

Leonard David Berkovitz, Negash G. Medhin

Reviews for Nonlinear Optimal Control Theory

This book provides a thorough introduction to optimal control theory for nonlinear systems. … The book is enhanced by the inclusion of many examples, which are analyzed in detail using Pontryagin’s principle. … An important feature of the book is its systematic use of a relaxed control formulation of optimal control problems. … —From the Foreword by Wendell Fleming … more than a very useful research account and a handy reference to users of the theory-they also make it a pleasant and helpful study opportunity to students and other newcomers to the theory of optimal control. —Zvi Artstein, in Mathematical Reviews