Approximation and Optimization of Discrete and Differential Inclusions

• Author : Elimhan N Mahmudov
• Publisher : Elsevier
• Release : 25 August 2011

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

• Author : Bernd Bank
• Publisher : Unknown Publisher
• Release : 11 April 1998

• Author : Jean-Pierre Aubin,Alexandre M. Bayen,Patrick Saint-Pierre
• Publisher : Springer Science & Business Media
• Release : 13 July 2011

Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining

• Author : Doug E. Ward
• Publisher : Unknown Publisher
• Release : 11 April 2021

• Author : Society for Industrial and Applied Mathematics
• Publisher : Unknown Publisher
• Release : 11 April 2021

• Author : Georgi V. Smirnov
• Publisher : American Mathematical Soc.
• Release : 11 April 2021

Differential inclusions play an important role as a tool in the study of various dynamical processes described by equations with a discontinuous or multivalued right-hand side. This text acts as an introduction to the subject.

• Author : Anonim
• Publisher : Unknown Publisher
• Release : 11 April 2021

• Author : Anonim
• Publisher : Unknown Publisher
• Release : 11 April 2021

• Author : Anonim
• Publisher : Unknown Publisher
• Release : 11 April 1991

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

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

• Author : Hoai An Le Thi,Hoai Minh Le,Tao Pham Dinh
• Publisher : Springer
• Release : 15 June 2019

This book contains 112 papers selected from about 250 submissions to the 6th World Congress on Global Optimization (WCGO 2019) which takes place on July 8–10, 2019 at University of Lorraine, Metz, France. The book covers both theoretical and algorithmic aspects of Nonconvex Optimization, as well as its applications to modeling and solving decision problems in various domains. It is composed of 10 parts, each of them deals with either the theory and/or methods in a branch of optimization such as Continuous optimization, DC Programming

• Author : Giuseppe Mastroianni,Gradimir Milovanovic
• Publisher : Springer Science & Business Media
• Release : 24 August 2008

Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz,

• Author : A.A. Kilbas,H. M. Srivastava,J.J. Trujillo
• Publisher : Elsevier
• Release : 02 March 2006

This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.

• Author : Boris S. Mordukhovich
• Publisher : Springer Science & Business Media
• Release : 02 March 2006

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.

• Author : John P. Lynch
• Publisher : Unknown Publisher
• Release : 11 April 1999