Introduction

Kok Lay Teo, Bin Li, Changjun Yu and Volker Rehbock
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Kok Lay Teo: Sunway University
Bin Li: Sichuan University
Changjun Yu: Shanghai University
Volker Rehbock: Curtin University

Chapter Chapter 1 in Applied and Computational Optimal Control, 2021, pp 1-20 from Springer

Abstract: Abstract Broadly speaking, an optimal control problem seeks to optimize a performance measure subject to a set of dynamic constraints. The dynamic constraints may constitute a set of differential equations (ordinary or partial) or a set of difference equations. These equations may be deterministic or stochastic in nature. Furthermore, optimal control problems are often subject to constraints on the state and/or control. These constraints arise due to engineering regulations or design specifications, such as the specified product quality or the constraint on the safety requirement [55]. Optimal control problems subject to constraints on the state and/or control are referred to as constrained optimal control problems.

Date: 2021
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DOI: 10.1007/978-3-030-69913-0_1

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