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Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions
  • Author : Elimhan N Mahmudov
  • Publsiher : Elsevier
  • Release : 25 August 2011
  • ISBN : 0123884330
  • Pages : 396 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKApproximation and Optimization of Discrete and Differential Inclusions

Summary:
Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples


Approximation and Optimization of Discrete and Differential Inclusions

Approximation and Optimization of Discrete and Differential Inclusions
  • Author : Elimhan N Mahmudov
  • Publisher : Elsevier
  • Release : 25 August 2011
GET THIS BOOKApproximation and Optimization of Discrete and Differential Inclusions

Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples







System Modeling and Optimization

System Modeling and Optimization
  • Author : Adam Korytowski,Maciej Szymkat,Kazimierz Malanowski,Wojciech Mitkowski
  • Publisher : Springer Science & Business Media
  • Release : 15 October 2009
GET THIS BOOKSystem Modeling and Optimization

rd This book constitutes a collection of extended versions of papers presented at the 23 IFIP TC7 Conference on System Modeling and Optimization, which was held in C- cow, Poland, on July 23–27, 2007. It contains 7 plenary and 22 contributed articles, the latter selected via a peer reviewing process. Most of the papers are concerned with optimization and optimal control. Some of them deal with practical issues, e. g. , p- formance-based design for seismic risk reduction, or evolutionary optimization in structural engineering. Many contributions


Functional Calculus

Functional Calculus
  • Author : Kamal Shah,Baver Okutmuştur
  • Publisher : BoD – Books on Demand
  • Release : 17 June 2020
GET THIS BOOKFunctional Calculus

The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value




Variational Analysis and Generalized Differentiation II

Variational Analysis and Generalized Differentiation II
  • Author : Boris S. Mordukhovich
  • Publisher : Springer Science & Business Media
  • Release : 02 March 2006
GET THIS BOOKVariational Analysis and Generalized Differentiation II

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 Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.



Optimization and Nonsmooth Analysis

Optimization and Nonsmooth Analysis
  • Author : Frank H. Clarke
  • Publisher : SIAM
  • Release : 01 January 1990
GET THIS BOOKOptimization and Nonsmooth Analysis

Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to


Differential Inclusions

Differential Inclusions
  • Author : J.-P. Aubin,A. Cellina
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKDifferential Inclusions

A great impetus to study differential inclusions came from the development of Control Theory, i.e. of dynamical systems x'(t) = f(t, x(t), u(t)), x(O)=xo "controlled" by parameters u(t) (the "controls"). Indeed, if we introduce the set-valued map F(t, x)= {f(t, x, u)}ueu then solutions to the differential equations (*) are solutions to the "differen tial inclusion" (**) x'(t)EF(t, x(t)), x(O)=xo in which the controls do not