Optimization and Differentiation

1. Auflage 2017
ISBN: 978-1-4987-5093-6
Verlag: Taylor & Francis Inc

Buch, Englisch, 538 Seiten, Format (B × H): 241 mm x 165 mm, Gewicht: 910 g

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.

Autoren/Hrsg.

Serovajsky, Simon

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Minimization of the Functionals. Necessary Conditions of the Functional Extremum. Minimization of the Functionals. Stationary Systems. Linear Stationary Systems. Weak Nonlinear Stationary Systems. Strong Nonlinear Stationary Systems. Stationary Systems with the Coefficient Control. Stationary Systems with Nonlinear Control. Evolutional Systems. First Order Linear Evolutional Systems. First Order Nonlinear Evolutional Systems. Second Order Evolutional Systems. Navier – Stokes equations. Additions. Optimal Control Problems with the Different State Equations. Optimal Control Problems with Different Controls. Optimal Control Problems with the Different State Functionals. Optimal Control Problems with Different Constraints. Appendix. Differentiation, Optimization and Categories Theory. Elementary Conterexamples of the Optimization Control Theory.

Über Autor(innen)

Simon Serovajsky is a Professor of Differential Equations and Control Theory at al-Farabi Kazakh National University in Kazakhstan. He is the author of many books published in the area of Modelling, Optimisation and Optimal Control Theory as well as a long list of high-quality publications in learned journals.