An Introduction to Optimal Control Problems in Life Sciences and Economics
An Introduction to Optimal Control Problems in Life Sciences and Economics

Author: Sebastian Aniţa

Publisher: Springer Science & Business Media

Published: 2011-05-05

Total Pages: 241

ISBN-13: 0817680985

DOWNLOAD EBOOK

Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research. With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.

Optimal Control Theory
Optimal Control Theory

Author: Suresh P. Sethi

Publisher: Taylor & Francis US

Published: 2006

Total Pages: 536

ISBN-13: 9780387280929

DOWNLOAD EBOOK

Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.

Optimization in Control Applications
Optimization in Control Applications

Author: Guillermo Valencia-Palomo

Publisher: MDPI

Published: 2019-01-10

Total Pages: 257

ISBN-13: 3038974471

DOWNLOAD EBOOK

This book is a printed edition of the Special Issue "Optimization in Control Applications" that was published in MCA

Optimal Control for Mathematical Models of Cancer Therapies
Optimal Control for Mathematical Models of Cancer Therapies

Author: Heinz Schättler

Publisher: Springer

Published: 2015-09-15

Total Pages: 511

ISBN-13: 1493929720

DOWNLOAD EBOOK

This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.

Advances in Applied Mathematics, Modeling, and Computational Science
Advances in Applied Mathematics, Modeling, and Computational Science

Author: Roderick Melnik

Publisher: Springer Science & Business Media

Published: 2012-09-23

Total Pages: 248

ISBN-13: 1461453887

DOWNLOAD EBOOK

The volume presents a selection of in-depth studies and state-of-the-art surveys of several challenging topics that are at the forefront of modern applied mathematics, mathematical modeling, and computational science. These three areas represent the foundation upon which the methodology of mathematical modeling and computational experiment is built as a ubiquitous tool in all areas of mathematical applications. This book covers both fundamental and applied research, ranging from studies of elliptic curves over finite fields with their applications to cryptography, to dynamic blocking problems, to random matrix theory with its innovative applications. The book provides the reader with state-of-the-art achievements in the development and application of new theories at the interface of applied mathematics, modeling, and computational science. This book aims at fostering interdisciplinary collaborations required to meet the modern challenges of applied mathematics, modeling, and computational science. At the same time, the contributions combine rigorous mathematical and computational procedures and examples from applications ranging from engineering to life sciences, providing a rich ground for graduate student projects.

Advances in Applied Mathematics
Advances in Applied Mathematics

Author: Ali R. Ansari

Publisher: Springer

Published: 2014-08-04

Total Pages: 276

ISBN-13: 3319069233

DOWNLOAD EBOOK

This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The first of these was mathematical biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference also addressed more general applications topics, with papers in business applications, fluid mechanics, optimization, scheduling problems and engineering applications, as well as a keynote by Professor Ali Nayfeh.

Applied Mathematical Problems in Geophysics
Applied Mathematical Problems in Geophysics

Author: Massimo Chiappini

Publisher: Springer Nature

Published: 2022-07-23

Total Pages: 211

ISBN-13: 3031053214

DOWNLOAD EBOOK

This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. The contributions reflect five major topics identified by the SIES (Strategic Initiatives for the Environment and Security) as having significant societal impact: optimal control in waste management, in particular the degradation of organic waste by an aerobic biomass, by means of a mathematical model; recent developments in the mathematical analysis of subwave resonators; conservation laws in continuum mechanics, including an elaboration on the notion of weak solutions and issues related to entropy criteria; the applications of variational methods to 1-dimensional boundary value problems, in particular to light ray-tracing in ionospheric physics; and the mathematical modelling of potential electromagnetic co-seismic events associated to large earthquakes. This material will provide a sound foundation for those who intend to approach similar problems from a multidisciplinary perspective.

Optimization and Approximation
Optimization and Approximation

Author: Pablo Pedregal

Publisher: Springer

Published: 2017-09-07

Total Pages: 261

ISBN-13: 3319648438

DOWNLOAD EBOOK

This book provides a basic, initial resource, introducing science and engineering students to the field of optimization. It covers three main areas: mathematical programming, calculus of variations and optimal control, highlighting the ideas and concepts and offering insights into the importance of optimality conditions in each area. It also systematically presents affordable approximation methods. Exercises at various levels have been included to support the learning process.

Mathematical Modeling in Economics, Ecology and the Environment
Mathematical Modeling in Economics, Ecology and the Environment

Author: Natali Hritonenko

Publisher: Springer Science & Business Media

Published: 2014-01-08

Total Pages: 305

ISBN-13: 1461493110

DOWNLOAD EBOOK

Updated to textbook form by popular demand, this second edition discusses diverse mathematical models used in economics, ecology, and the environmental sciences with emphasis on control and optimization. It is intended for graduate and upper-undergraduate course use, however, applied mathematicians, industry practitioners, and a vast number of interdisciplinary academics will find the presentation highly useful. Core topics of this text are: · Economic growth and technological development · Population dynamics and human impact on the environment · Resource extraction and scarcity · Air and water contamination · Rational management of the economy and environment · Climate change and global dynamics The step-by-step approach taken is problem-based and easy to follow. The authors aptly demonstrate that the same models may be used to describe different economic and environmental processes and that similar investigation techniques are applicable to analyze various models. Instructors will appreciate the substantial flexibility that this text allows while designing their own syllabus. Chapters are essentially self-contained and may be covered in full, in part, and in any order. Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models. Prerequisites for the courses are Calculus and, preferably, Differential Equations.