Optimization and Its Applications in Control and Data Sciences

Optimization and Its Applications in Control and Data Sciences
Author: Boris Goldengorin
Publisher: Springer
Total Pages: 516
Release: 2016-09-29
Genre: Mathematics
ISBN: 3319420569

This book focuses on recent research in modern optimization and its implications in control and data analysis. This book is a collection of papers from the conference “Optimization and Its Applications in Control and Data Science” dedicated to Professor Boris T. Polyak, which was held in Moscow, Russia on May 13-15, 2015. This book reflects developments in theory and applications rooted by Professor Polyak’s fundamental contributions to constrained and unconstrained optimization, differentiable and nonsmooth functions, control theory and approximation. Each paper focuses on techniques for solving complex optimization problems in different application areas and recent developments in optimization theory and methods. Open problems in optimization, game theory and control theory are included in this collection which will interest engineers and researchers working with efficient algorithms and software for solving optimization problems in market and data analysis. Theoreticians in operations research, applied mathematics, algorithm design, artificial intelligence, machine learning, and software engineering will find this book useful and graduate students will find the state-of-the-art research valuable.

Data-Driven Science and Engineering

Data-Driven Science and Engineering
Author: Steven L. Brunton
Publisher: Cambridge University Press
Total Pages: 615
Release: 2022-05-05
Genre: Computers
ISBN: 1009098489

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Optimization for Data Analysis

Optimization for Data Analysis
Author: Stephen J. Wright
Publisher: Cambridge University Press
Total Pages: 239
Release: 2022-04-21
Genre: Computers
ISBN: 1316518981

A concise text that presents and analyzes the fundamental techniques and methods in optimization that are useful in data science.

Approximation and Optimization

Approximation and Optimization
Author: Ioannis C. Demetriou
Publisher: Springer
Total Pages: 244
Release: 2019-05-10
Genre: Mathematics
ISBN: 3030127672

This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Advanced and Optimization Based Sliding Mode Control: Theory and Applications

Advanced and Optimization Based Sliding Mode Control: Theory and Applications
Author: Antonella Ferrara
Publisher: SIAM
Total Pages: 302
Release: 2019-07-01
Genre: Mathematics
ISBN: 1611975840

A compendium of the authors’ recently published results, this book discusses sliding mode control of uncertain nonlinear systems, with a particular emphasis on advanced and optimization based algorithms. The authors survey classical sliding mode control theory and introduce four new methods of advanced sliding mode control. They analyze classical theory and advanced algorithms, with numerical results complementing the theoretical treatment. Case studies examine applications of the algorithms to complex robotics and power grid problems. Advanced and Optimization Based Sliding Mode Control: Theory and Applications is the first book to systematize the theory of optimization based higher order sliding mode control and illustrate advanced algorithms and their applications to real problems. It presents systematic treatment of event-triggered and model based event-triggered sliding mode control schemes, including schemes in combination with model predictive control, and presents adaptive algorithms as well as algorithms capable of dealing with state and input constraints. Additionally, the book includes simulations and experimental results obtained by applying the presented control strategies to real complex systems. This book is suitable for students and researchers interested in control theory. It will also be attractive to practitioners interested in implementing the illustrated strategies. It is accessible to anyone with a basic knowledge of control engineering, process physics, and applied mathematics.

Introduction to Applied Optimization

Introduction to Applied Optimization
Author: Urmila Diwekar
Publisher: Springer Science & Business Media
Total Pages: 342
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475737459

This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical detail. This second edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Introduction to Applied Optimization is intended for advanced undergraduate and graduate students and will benefit scientists from diverse areas, including engineers.

Optimization of Elliptic Systems

Optimization of Elliptic Systems
Author: Pekka Neittaanmaki
Publisher: Springer Science & Business Media
Total Pages: 514
Release: 2007-01-04
Genre: Mathematics
ISBN: 0387272364

The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field.

Optimization Models

Optimization Models
Author: Giuseppe C. Calafiore
Publisher: Cambridge University Press
Total Pages: 651
Release: 2014-10-31
Genre: Business & Economics
ISBN: 1107050871

This accessible textbook demonstrates how to recognize, simplify, model and solve optimization problems - and apply these principles to new projects.

Nonlinear Optimization Applications Using the GAMS Technology

Nonlinear Optimization Applications Using the GAMS Technology
Author: Neculai Andrei
Publisher: Springer Science & Business Media
Total Pages: 356
Release: 2013-06-22
Genre: Mathematics
ISBN: 1461467977

Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.

Global Optimization

Global Optimization
Author: Marco Locatelli
Publisher: SIAM
Total Pages: 439
Release: 2013-10-16
Genre: Mathematics
ISBN: 1611972671

This volume contains a thorough overview of the rapidly growing field of global optimization, with chapters on key topics such as complexity, heuristic methods, derivation of lower bounds for minimization problems, and branch-and-bound methods and convergence. The final chapter offers both benchmark test problems and applications of global optimization, such as finding the conformation of a molecule or planning an optimal trajectory for interplanetary space travel. An appendix provides fundamental information on convex and concave functions. Intended for Ph.D. students, researchers, and practitioners looking for advanced solution methods to difficult optimization problems. It can be used as a supplementary text in an advanced graduate-level seminar.