Optimization and Differentiation: 1st Edition (Hardback) book cover

Optimization and Differentiation

1st Edition

By Simon Serovajsky

Chapman and Hall/CRC

516 pages | 57 B/W Illus.

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pub: 2017-10-13
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Description

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.

Table of Contents

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.

About the Author

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.

About the Series

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations