Variational Analysis And Generalized Differentiation In Optimization And Control
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Variational Analysis and Generalized Differentiation in Optimization and Control
Author: Regina S. Burachik
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-11-25
This book presents some 20 papers describing recent developments in advanced variational analysis, optimization, and control systems, especially those based on modern variational techniques and tools of generalized differentiation.
Variational Analysis and Generalized Differentiation I
Author: Boris S. Mordukhovich
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-08-08
Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries.