Optimization and Differentiation

Simon Serovajsky

October 13, 2017 by Chapman and Hall/CRC
Reference - 516 Pages - 57 B/W Illustrations
ISBN 9781498750936 - CAT# K27226
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics


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  • Provides an interpretation of optimization control theory for nonlinear distributed systems as an application of general differentiation theory
  • Offers an integrated definition of the different results of the general extremum theory by means of different operator derivatives
  • Contains examples of nonlinear distributed systems with non-differentiable of control-state mappings
  • Includes the proposition of the weak form of the operator derivative with analysis of its properties
  • Solves optimization control problems with non-differentiability of control-state mappings through use of extended derivatives


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.

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