partial differential equation methods in control and shape analysis

partial differential equation methods in control and shape analysis
Author: Giuseppe Da Prato
Publisher: CRC Press
Total Pages: 354
Release: 1997-02-20
Genre: Mathematics
ISBN: 9780824798376

"Based on the International Federatiojn for Information Processing WG 7.2 Conference, held recently in Pisa, Italy. Provides recent results as well as entirely new material on control theory and shape analysis. Written by leading authorities from various desciplines."

Shapes and Geometries

Shapes and Geometries
Author: M. C. Delfour
Publisher: SIAM
Total Pages: 638
Release: 2011-01-01
Genre: Mathematics
ISBN: 0898719828

This considerably enriched new edition provides a self-contained presentation of the mathematical foundations, constructions, and tools necessary for studying problems where the modeling, optimization, or control variable is the shape or the structure of a geometric object.

Boundary Control

Boundary Control
Author: Edward L. Gibson
Publisher: Cambridge University Press
Total Pages: 209
Release: 2013-01-07
Genre: Political Science
ISBN: 1139851012

The democratization of a national government is only a first step in diffusing democracy throughout a country's territory. Even after a national government is democratized, subnational authoritarian 'enclaves' often continue to deny rights to citizens of local jurisdictions. Gibson offers new theoretical perspectives for the study of democratization in his exploration of this phenomenon. His theory of 'boundary control' captures the conflict pattern between incumbents and oppositions when a national democratic government exists alongside authoritarian provinces (or 'states'). He also reveals how federalism and the territorial organization of countries shape how subnational authoritarian regimes are built and how they unravel. Through a novel comparison of the late nineteenth-century American 'Solid South' with contemporary experiences in Argentina and Mexico, Gibson reveals that the mechanisms of boundary control are reproduced across countries and historical periods. As long as subnational authoritarian governments coexist with national democratic governments, boundary control will be at play.

Shapes and Geometries

Shapes and Geometries
Author: Michel C. Delfour
Publisher: SIAM
Total Pages: 512
Release: 2001-01-01
Genre: Mathematics
ISBN: 9780898714890

The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.

Report

Report
Author:
Publisher:
Total Pages: 1138
Release: 1958
Genre: Aeronautics
ISBN:

Turnpike Properties in the Calculus of Variations and Optimal Control

Turnpike Properties in the Calculus of Variations and Optimal Control
Author: Alexander J. Zaslavski
Publisher: Springer Science & Business Media
Total Pages: 407
Release: 2006-01-27
Genre: Mathematics
ISBN: 0387281541

This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics. Audience This book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics.

Modern Aspects of the Theory of Partial Differential Equations

Modern Aspects of the Theory of Partial Differential Equations
Author: Michael Ruzhansky
Publisher: Springer Science & Business Media
Total Pages: 366
Release: 2011-05-04
Genre: Mathematics
ISBN: 303480069X

The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.

Geometric Measure Theory and the Calculus of Variations

Geometric Measure Theory and the Calculus of Variations
Author: William K. Allard
Publisher: American Mathematical Soc.
Total Pages: 482
Release: 1986
Genre: Mathematics
ISBN: 0821814702

Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.

Control and Estimation of Distributed Parameter Systems

Control and Estimation of Distributed Parameter Systems
Author: Wolfgang Desch
Publisher: Springer Science & Business Media
Total Pages: 284
Release: 2003
Genre: Language Arts & Disciplines
ISBN: 9783764370046

Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to the forefront of control and estimation of distributed parameter systems.

Calculus Of Variations, Homogenization And Continuum Mechanics

Calculus Of Variations, Homogenization And Continuum Mechanics
Author: Guy Bouchitte
Publisher: World Scientific
Total Pages: 312
Release: 1994-06-28
Genre:
ISBN: 9814550825

The aim of the workshop was to promote a better understanding of the connections between recent problems in Theoretical or Computational Mechanics (bounds in composites, phase transitions, microstructure of crystals, optimal design, nonlinear elasticity) and new mathematical tools in the Calculus of Variations (relaxation and Γ-convergence theory, Young and H-measures, compensated compactness and quasiconvexity).