Analysis And Optimization Of Differential Systems

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Analysis and Optimization of Differential Systems

Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan
Analysis and Optimization of Differential Systems Book PDF

Author : Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 46,9 Mb
Release : 2003-04-30
Category : Mathematics
ISBN : 1402074395

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Analysis and Optimization of Differential Systems by Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan Pdf

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Analysis and Optimization of Differential Systems

Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan
Analysis and Optimization of Differential Systems Book PDF

Author : Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan
Publisher : Springer
Page : 445 pages
File Size : 52,9 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387356907

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Analysis and Optimization of Differential Systems by Viorel Barbu,Irena Lasiecka,Dan Tiba,Constantin Varsan Pdf

Analysis and Optimization of Differential Systems focuses on the qualitative aspects of deterministic and stochastic differential equations. Areas covered include: Ordinary and partial differential systems; Optimal control of deterministic and stochastic evolution equations; Control theory of Partial Differential Equations (PDE's); Optimization methods in PDE's with numerous applications to mechanics and physics; Inverse problems; Stability theory; Abstract optimization problems; Calculus of variations; Numerical treatment of solutions to differential equations and related optimization problems. These research fields are under very active development and the present volume should be of interest to students and researchers working in applied mathematics or in system engineering. This volume contains selected contributions presented during the International Working Conference on Analysis and Optimization of Differential Systems, which was sponsored by the International Federation for Information Processing (IFIP) and held in Constanta, Romania in September 2002. Among the aims of this conference was the creation of new international contacts and collaborations, taking advantage of the new developments in Eastern Europe, particularly in Romania. The conference benefited from the support of the European Union via the EURROMMAT program.

Mathematical Methods in Optimization of Differential Systems

Viorel Barbu
Mathematical Methods in Optimization of Differential Systems Book PDF

Author : Viorel Barbu
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401107600

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Mathematical Methods in Optimization of Differential Systems by Viorel Barbu Pdf

This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989. It grew out of lecture notes for a graduate course given by the author at the University if Ia~i and was initially intended for students and readers primarily interested in applications of optimal control of ordinary differential equations. In this vision the book had to contain an elementary description of the Pontryagin maximum principle and a large number of examples and applications from various fields of science. The evolution of control science in the last decades has shown that its meth ods and tools are drawn from a large spectrum of mathematical results which go beyond the classical theory of ordinary differential equations and real analy ses. Mathematical areas such as functional analysis, topology, partial differential equations and infinite dimensional dynamical systems, geometry, played and will continue to play an increasing role in the development of the control sciences. On the other hand, control problems is a rich source of deep mathematical problems. Any presentation of control theory which for the sake of accessibility ignores these facts is incomplete and unable to attain its goals. This is the reason we considered necessary to widen the initial perspective of the book and to include a rigorous mathematical treatment of optimal control theory of processes governed by ordi nary differential equations and some typical problems from theory of distributed parameter systems.

Optimization and Control for Partial Differential Equations

Roland Herzog,Matthias Heinkenschloss,Dante Kalise,Georg Stadler,Emmanuel Trélat
Optimization and Control for Partial Differential Equations Book PDF

Author : Roland Herzog,Matthias Heinkenschloss,Dante Kalise,Georg Stadler,Emmanuel Trélat
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 41,7 Mb
Release : 2022-03-07
Category : Mathematics
ISBN : 9783110696004

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Optimization and Control for Partial Differential Equations by Roland Herzog,Matthias Heinkenschloss,Dante Kalise,Georg Stadler,Emmanuel Trélat Pdf

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Topics in Applied Analysis and Optimisation

Michael Hintermüller,José Francisco Rodrigues
Topics in Applied Analysis and Optimisation Book PDF

Author : Michael Hintermüller,José Francisco Rodrigues
Publisher : Springer Nature
Page : 396 pages
File Size : 46,8 Mb
Release : 2019-11-27
Category : Mathematics
ISBN : 9783030331160

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Topics in Applied Analysis and Optimisation by Michael Hintermüller,José Francisco Rodrigues Pdf

This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

Computational Optimization of Systems Governed by Partial Differential Equations

Alfio Borzi,Volker Schulz
Computational Optimization of Systems Governed by Partial Differential Equations Book PDF

Author : Alfio Borzi,Volker Schulz
Publisher : SIAM
Page : 302 pages
File Size : 41,6 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 1611972051

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Computational Optimization of Systems Governed by Partial Differential Equations by Alfio Borzi,Volker Schulz Pdf

This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes. The book offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.

Design Sensitivity Analysis and Optimization of Electromagnetic Systems

Il Han Park
Design Sensitivity Analysis and Optimization of Electromagnetic Systems Book PDF

Author : Il Han Park
Publisher : Springer
Page : 368 pages
File Size : 43,5 Mb
Release : 2018-08-27
Category : Technology & Engineering
ISBN : 9789811302305

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Design Sensitivity Analysis and Optimization of Electromagnetic Systems by Il Han Park Pdf

This book presents a comprehensive introduction to design sensitivity analysis theory as applied to electromagnetic systems. It treats the subject in a unified manner, providing numerical methods and design examples. The specific focus is on continuum design sensitivity analysis, which offers significant advantages over discrete design sensitivity methods. Continuum design sensitivity formulas are derived from the material derivative in continuum mechanics and the variational form of the governing equation. Continuum sensitivity analysis is applied to Maxwell equations of electrostatic, magnetostatic and eddy-current systems, and then the sensitivity formulas for each system are derived in a closed form; an integration along the design interface. The book also introduces the recent breakthrough of the topology optimization method, which is accomplished by coupling the level set method and continuum design sensitivity. This topology optimization method enhances the possibility of the global minimum with minimised computational time, and in addition the evolving shapes during the iterative design process are easily captured in the level set equation. Moreover, since the optimization algorithm is transformed into a well-known transient analysis algorithm for differential equations, its numerical implementation becomes very simple and convenient. Despite the complex derivation processes and mathematical expressions, the obtained sensitivity formulas are very straightforward for numerical implementation. This book provides detailed explanation of the background theory and the derivation process, which will help readers understand the design method and will set the foundation for advanced research in the future.

Optimization—Theory and Applications

L. Cesari
Optimization Theory and Applications Book PDF

Author : L. Cesari
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461381655

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Optimization—Theory and Applications by L. Cesari Pdf

This book has grown out of lectures and courses in calculus of variations and optimization taught for many years at the University of Michigan to graduate students at various stages of their careers, and always to a mixed audience of students in mathematics and engineering. It attempts to present a balanced view of the subject, giving some emphasis to its connections with the classical theory and to a number of those problems of economics and engineering which have motivated so many of the present developments, as well as presenting aspects of the current theory, particularly value theory and existence theorems. However, the presentation ofthe theory is connected to and accompanied by many concrete problems of optimization, classical and modern, some more technical and some less so, some discussed in detail and some only sketched or proposed as exercises. No single part of the subject (such as the existence theorems, or the more traditional approach based on necessary conditions and on sufficient conditions, or the more recent one based on value function theory) can give a sufficient representation of the whole subject. This holds particularly for the existence theorems, some of which have been conceived to apply to certain large classes of problems of optimization. For all these reasons it is essential to present many examples (Chapters 3 and 6) before the existence theorems (Chapters 9 and 11-16), and to investigate these examples by means of the usual necessary conditions, sufficient conditions, and value function theory.

Recent Trends in Optimization Theory and Applications

Ratan Prakash Agarwal,Ravi P. Agarwal
Recent Trends in Optimization Theory and Applications Book PDF

Author : Ratan Prakash Agarwal,Ravi P. Agarwal
Publisher : World Scientific
Page : 506 pages
File Size : 55,8 Mb
Release : 1995
Category : Science
ISBN : 981022382X

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Recent Trends in Optimization Theory and Applications by Ratan Prakash Agarwal,Ravi P. Agarwal Pdf

World Scientific Series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. This volume contains 30 research articles on the theory of optimization and its applications by the leading scientists in the field. It is hoped that the material in the present volume will open new vistas in research.Contributors: B D O Anderson, M Bertaja, O J Boxma, O Burdakov, A Cantoni, D J Clements, B D Craven, J B Cruz, Jr., P Diamond, S V Drakunov, Y G Evtushenko, N M Filatov, I Galligani, J C Geromel, F Giannessi, M J Grimble, G O Guardabassi, D-W Gu, C H Houpis, D G Hull, C Itiki, X Jian, M A Johnson, R E Kalaba, J C Kalkkuhl, M R Katebi, T J Kim, P Kloeden, T Kobylarz, A J Laub, C S Lee, G Leitmann, B-G Liu, J Liu, Z-Q Luo, K A Lurie, P Maponi, J B Matson, A Mess, G Pacelli, M Pachter, I Postlethwaite, T Rapcsak, M C Recchioni, Y Sakawa, S V Savastyuk, K Schittkowski, Y Shi, M A Sikora, D D Siljak, K L Teo, C Tovey, P Tseng, F E Udwadia, H Unbehauen, A Vladimirov, B Vo, J F Whidborne, R Xu, P L Yu, V G Zhadan, F Zirilli.

Variational Methods in Nonlinear Analysis

Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos
Variational Methods in Nonlinear Analysis Book PDF

Author : Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 384 pages
File Size : 54,7 Mb
Release : 2020-04-06
Category : Mathematics
ISBN : 9783110647457

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Variational Methods in Nonlinear Analysis by Dimitrios C. Kravvaritis,Athanasios N. Yannacopoulos Pdf

This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Nonlinear Analysis, Differential Equations and Control

Francis Clarke,R.J. Stern
Nonlinear Analysis Differential Equations and Control Book PDF

Author : Francis Clarke,R.J. Stern
Publisher : Springer
Page : 602 pages
File Size : 45,9 Mb
Release : 2011-10-10
Category : Mathematics
ISBN : 940114561X

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Nonlinear Analysis, Differential Equations and Control by Francis Clarke,R.J. Stern Pdf

Recent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration.

Recent Advances in Differential Equations and Applications

Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza
Recent Advances in Differential Equations and Applications Book PDF

Author : Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza
Publisher : Springer
Page : 244 pages
File Size : 55,5 Mb
Release : 2019-01-04
Category : Mathematics
ISBN : 9783030003418

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Recent Advances in Differential Equations and Applications by Juan Luis García Guirao,José Alberto Murillo Hernández,Francisco Periago Esparza Pdf

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control

Marko M Makela,Pekka Neittaanmaki
Nonsmooth Optimization Analysis And Algorithms With Applications To Optimal Control Book PDF

Author : Marko M Makela,Pekka Neittaanmaki
Publisher : World Scientific
Page : 268 pages
File Size : 51,5 Mb
Release : 1992-05-07
Category : Mathematics
ISBN : 9789814522410

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Nonsmooth Optimization: Analysis And Algorithms With Applications To Optimal Control by Marko M Makela,Pekka Neittaanmaki Pdf

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered.

Variational Methods in Shape Optimization Problems

Dorin Bucur,Giuseppe Buttazzo
Variational Methods in Shape Optimization Problems Book PDF

Author : Dorin Bucur,Giuseppe Buttazzo
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 54,5 Mb
Release : 2006-09-13
Category : Mathematics
ISBN : 9780817644031

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Variational Methods in Shape Optimization Problems by Dorin Bucur,Giuseppe Buttazzo Pdf

Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis Driven by several good examples and illustrations Poses some open questions.

Numerical Analysis and Optimization

Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti
Numerical Analysis and Optimization Book PDF

Author : Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti
Publisher : Springer Nature
Page : 307 pages
File Size : 50,7 Mb
Release : 2021-12-01
Category : Mathematics
ISBN : 9783030720407

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Numerical Analysis and Optimization by Mehiddin Al-Baali,Anton Purnama,Lucio Grandinetti Pdf

This book gathers selected, peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020. Each chapter reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable or discontinuous, and therefore require adequate computational methods, algorithms and software tools. These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization and other complex numerical algorithms in the cloud, devising special techniques for supercomputing systems. This interdisciplinary view permeates the work included in this volume. The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.