Gradient Formulae for Optimal Parameter Selection Problems

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 7 in Applied and Computational Optimal Control, 2021, pp 217-265 from Springer

Abstract: Abstract The main theme of this chapter is to derive gradient formulae for the cost and constraint functionals of several types of optimal parameter selection problems with respect to various types of parameters. An optimal parameter selection problem can be regarded as a special type of optimal control problems in which the controls are restricted to be constant functions of time. Many optimization problems involving dynamical systems can be formulated as optimal parameter selection problems. Examples include parameter identification problems and controller parameter design problems.

Date: 2021
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DOI: 10.1007/978-3-030-69913-0_7

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