Optimal Control of Complex Structures

Optimal Control of Complex Structures
Author: K.-H. Hoffmann
Publisher: Birkhäuser
Total Pages: 290
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034881487

Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics. This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.

Optimal Control

Optimal Control
Author: Arturo Locatelli
Publisher: Springer Science & Business Media
Total Pages: 318
Release: 2001-03
Genre: Education
ISBN: 9783764364083

From the reviews: "The style of the book reflects the author’s wish to assist in the effective learning of optimal control by suitable choice of topics, the mathematical level used, and by including numerous illustrated examples. . . .In my view the book suits its function and purpose, in that it gives a student a comprehensive coverage of optimal control in an easy-to-read fashion." —Measurement and Control

Parallel Algorithms and Cluster Computing

Parallel Algorithms and Cluster Computing
Author: Karl Heinz Hoffmann
Publisher: Springer Science & Business Media
Total Pages: 365
Release: 2007-06-24
Genre: Computers
ISBN: 3540335412

This book presents advances in high performance computing as well as advances accomplished using high performance computing. It contains a collection of papers presenting results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering. From science problems to mathematical algorithms and on to the effective implementation of these algorithms on massively parallel and cluster computers, the book presents state-of-the-art methods and technology, and exemplary results in these fields.

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces
Author: Michael Ulbrich
Publisher: SIAM
Total Pages: 322
Release: 2011-01-01
Genre: Constrained optimization
ISBN: 9781611970692

Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

Domain Decomposition Methods in Optimal Control of Partial Differential Equations

Domain Decomposition Methods in Optimal Control of Partial Differential Equations
Author: John E. Lagnese
Publisher: Birkhäuser
Total Pages: 454
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034878850

While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.

Optimal Control and Forecasting of Complex Dynamical Systems

Optimal Control and Forecasting of Complex Dynamical Systems
Author: Ilya Grigorenko
Publisher: World Scientific
Total Pages: 213
Release: 2006
Genre: Science
ISBN: 9812774246

The core of classical economic analysis represented by William Petty and Adam Smith concentrated on the field of development economics. This classical footing of the study of development is different from the neoclassical perspective in two important respects: it focuses on division of labor as the driving force of development, and it emphasizes the role of the market (the "invisible hand") in exploiting productivity gains that are derived from division of labor. However these aspects have received little attention in the body of literature that represents the modern field of development economics - which largely represents the neoclassical application of marginalism. A notable exception is research that utilizes inframarginal analysis of individuals' networking decisions in an attempt to formalize the classical mechanisms that drive division of labor. This book is a first attempt to collect relevant key contributions and is intended for active researchers in the field of development economics.

Optimal Enterprise

Optimal Enterprise
Author: Mikhail V. Belov
Publisher: CRC Press
Total Pages: 277
Release: 2021-07-28
Genre: Computers
ISBN: 1000344223

In the modern world, most gross product is created within Enterprise firms, project programs, state agencies, transnational corporations and their divisions, as well as various associations and compositions of the above entities. Enterprises, being, on the one hand, complex, and, on the other hand, widespread systems, are the subject matter of cybernetics, system theory, operations research, management sciences and many other fields of knowledge. However, the complexity of the system obstructs the development of mathematically rigorous foundations for Enterprise control. Moreover, methods of operations research and related sciences, which are widely used in practice, provide optimization of the constituents of an Enterprise, without modeling it as a whole system. But the optimization of parts does not lead to the optimality of the whole, and, also, the absence of top-down and holistic mathematical models of Enterprise contradicts the principle of holism and the system approach. The approach in this book looks first at Enterprise Systems and their essential aspects as complex sociotechnical systems composed of integrated sets of structural and process models (Chapters 1 and 2). A uniform description of all the heterogeneous fields of the modern Enterprise (marketing, sales, manufacturing, HR, finance, etc.) is then made, and the Enterprise Control Problem is posed as a top-down and holistic mathematical optimization problem (Chapter 3). Original models and methods of contract theory (Chapter 4), technology management (Chapter 5), human behavior and human capital (Chapter 6) and complex activity and resource planning (Chapter 7) are developed to solve the problem. Structural processes and mathematical models constitute an Optimal Enterprise Control Framework (Chapter 8) that provides a practical solution to the Enterprise Control Problem. This book is a resource for postgraduate and doctoral students, postdoctoral researchers and professors with research interests in the following fields of science: Fundamental Complex Systems study, Complex Systems Engineering, Enterprise Systems Engineering Applications of Operations Research, Optimization, Probability and Stochastic processes to Management Science, Economics and Business Theory of the Firm Business and Management – general, strategy/leadership, organization management, operations management and management information systems Theory of Business Processes, Business Processes Improvement and Reengineering

Diagnosis and Robust Control of Complex Building Central Chilling Systems for Enhanced Energy Performance

Diagnosis and Robust Control of Complex Building Central Chilling Systems for Enhanced Energy Performance
Author: Dian-Ce Gao
Publisher: Springer Nature
Total Pages: 195
Release: 2019-12-12
Genre: Science
ISBN: 9811506981

This book discusses enhancing the overall energy performance of building central air-conditioning systems through fault diagnosis and robust control strategies. Fault diagnosis strategies aim to determine the exact cause of problems and evaluate the energy impact on the system, while robust control strategies aim to manage chilled water systems to avoid the occurrence of low delta-T syndrome and deficit flow problems. Presenting the first academic study of the diagnostic method and control mechanism of “small temperature difference syndrome”, the book describes the highly robust and adaptive fault-tolerant control method developed to overcome the influences of external disturbance on the process control in practical applications. The diagnostic technology developed provides a predictive assessment of the energy dissipation effect of the fault. This book is a valuable reference resource for researchers and designers in the areas of building energy management and built environment control, as well as for senior undergraduate and graduate students.