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Optimization and differentiation

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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.

Abstract: 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

Author(s): Serovajsky, Simon
Series: Monographs and research notes in mathematics
Publisher: CRC Press
Year: 2018

Language: English
Pages: 515
Tags: Mathematical optimization.;Control theory.;Differential equations, Partial.;Differential equations, Nonlinear.;MATHEMATICS -- Calculus.;MATHEMATICS -- Mathematical Analysis.

Content: Necessary conditions of extremum for functionals --
Minimization of functionals. Addition --
Linear systems --
Weakly nonlinear systems --
Strongly nonlinear systems --
Coefficients optimization control problems --
Systems with nonlinear control --
Linear first-order evolution systems --
Nonlinear first order evolutional systems --
Second order evolutional systems --
Navier-Stokes equations --
Functors of the differentiation.