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Author : Society for Industrial and Applied Mathematics
Publisher : Unknown
Page : 796 pages
File Size : 52,8 Mb
Release : 2006
Category : Automatic control
ISBN : UVA:X006195708
Author : Lorenz T. Biegler,Stephen L. Campbell,Volker Mehrmann
Publisher : SIAM
Page : 351 pages
File Size : 41,8 Mb
Release : 2012-11-01
Category : Mathematics
ISBN : 9781611972245
A cutting-edge guide to modelling complex systems with differential-algebraic equations, suitable for applied mathematicians, engineers and computational scientists.
Author : Max D. Gunzburger
Publisher : SIAM
Page : 273 pages
File Size : 47,6 Mb
Release : 2003-01-01
Category : Science
ISBN : 9780898715279
Introduces several approaches for solving flow control and optimization problems through the use of modern methods.
Author : Marco Locatelli,Fabio Schoen
Publisher : SIAM
Page : 437 pages
File Size : 47,7 Mb
Release : 2013-10-16
Category : Nonconvex programming
ISBN : 9781611972672
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.
Author : Angel Corberan,Gilbert Laporte
Publisher : SIAM
Page : 401 pages
File Size : 53,7 Mb
Release : 2015-01-01
Category : Mathematics
ISBN : 9781611973679
This book provides a thorough and up-to-date discussion of arc routing by world-renowned researchers. Organized by problem type, the book offers a rigorous treatment of complexity issues, models, algorithms, and applications. Arc Routing: Problems, Methods, and Applications opens with a historical perspective of the field and is followed by three sections that cover complexity and the Chinese Postman and the Rural Postman problems; the Capacitated Arc Routing Problem and routing problems with min-max and profit maximization objectives; and important applications, including meter reading, snow removal, and waste collection.
Author : Alfio Borzi,Gabriele Ciaramella,Martin Sprengel
Publisher : SIAM
Page : 396 pages
File Size : 43,9 Mb
Release : 2017-07-06
Category : Technology & Engineering
ISBN : 9781611974836
This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ??
Author : Antonella Ferrara,Gian Paolo Incremona,Michele Cucuzella
Publisher : SIAM
Page : 302 pages
File Size : 43,5 Mb
Release : 2019-07-01
Category : Mathematics
ISBN : 9781611975840
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.
Author : Hans Kaper,Christiane Rousseau
Publisher : SIAM
Page : 206 pages
File Size : 43,8 Mb
Release : 2015-03-31
Category : Science
ISBN : 9781611973716
Author : Lorenz T. Biegler,Omar Ghattas,Matthias Heinkenschloss,David Keyes,Bart van Bloemen Waanders
Publisher : SIAM
Page : 335 pages
File Size : 40,5 Mb
Release : 2007-01-01
Category : Differential equations, Partial
ISBN : 0898718937
Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs--and the requirement for rapid solution--pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Audience: readers who have expertise in simulation and are interested in incorporating optimization into their simulations, who have expertise in numerical optimization and are interested in adapting optimization methods to the class of infinite-dimensional simulation problems, or who have worked in "offline" optimization contexts and are interested in moving to "online" optimization.
Author : Society for Industrial and Applied Mathematics
Publisher : Unknown
Page : 800 pages
File Size : 42,6 Mb
Release : 2006
Category : Automatic control
ISBN : UCSD:31822032918740
Author : M.I. Zelikin
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 55,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662041369
The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.
Author : Society for Industrial and Applied Mathematics
Publisher : Unknown
Page : 548 pages
File Size : 55,7 Mb
Release : 1965
Category : Automatic control
ISBN : UVA:X001540480
Author : Guanghui Lan
Publisher : Springer Nature
Page : 591 pages
File Size : 48,8 Mb
Release : 2020-05-15
Category : Mathematics
ISBN : 9783030395681
This book covers not only foundational materials but also the most recent progresses made during the past few years on the area of machine learning algorithms. In spite of the intensive research and development in this area, there does not exist a systematic treatment to introduce the fundamental concepts and recent progresses on machine learning algorithms, especially on those based on stochastic optimization methods, randomized algorithms, nonconvex optimization, distributed and online learning, and projection free methods. This book will benefit the broad audience in the area of machine learning, artificial intelligence and mathematical programming community by presenting these recent developments in a tutorial style, starting from the basic building blocks to the most carefully designed and complicated algorithms for machine learning.
Author : Alan G. Wilson
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 42,7 Mb
Release : 2016-08-26
Category : Mathematics
ISBN : 9781118937457
Geo-mathematical modelling: models from complexity science Sir Alan Wilson, Centre for Advanced Spatial Analysis, University College London Mathematical and computer models for a complexity science tool kit Geographical systems are characterised by locations, activities at locations, interactions between them and the infrastructures that carry these activities and flows. They can be described at a great variety of scales, from individuals and organisations to countries. Our understanding, often partial, of these entities, and in many cases this understanding is represented in theories and associated mathematical models. In this book, the main examples are models that represent elements of the global system covering such topics as trade, migration, security and development aid together with examples at finer scales. This provides an effective toolkit that can not only be applied to global systems, but more widely in the modelling of complex systems. All complex systems involve nonlinearities involving path dependence and the possibility of phase changes and this makes the mathematical aspects particularly interesting. It is through these mechanisms that new structures can be seen to ‘emerge’, and hence the current notion of ‘emergent behaviour’. The range of models demonstrated include account-based models and biproportional fitting, structural dynamics, space-time statistical analysis, real-time response models, Lotka-Volterra models representing ‘war’, agent-based models, epidemiology and reaction-diffusion approaches, game theory, network models and finally, integrated models. Geo-mathematical modelling: Presents mathematical models with spatial dimensions. Provides representations of path dependence and phase changes. Illustrates complexity science using models of trade, migration, security and development aid. Demonstrates how generic models from the complexity science tool kit can each be applied in a variety of situations This book is for practitioners and researchers in applied mathematics, geography, economics, and interdisciplinary fields such as regional science and complexity science. It can also be used as the basis of a modelling course for postgraduate students.
Author : Bas?Ar
Publisher : Academic Press
Page : 444 pages
File Size : 45,6 Mb
Release : 1982-02-02
Category : Computers
ISBN : 9780080956664
Dynamic Noncooperative Game Theory