Control Theoretic Splines

Author : Magnus Egerstedt,Clyde Martin
Publisher : Princeton University Press
Page : 232 pages
File Size : 55,8 Mb
Release : 2009-12-07
Category : Mathematics
ISBN : 9781400833870

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Control Theoretic Splines by Magnus Egerstedt,Clyde Martin Pdf

Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.

Author : Jan C. Willems,Shinji Hara,Yoshito Ohta,Hisaya Fujioka
Publisher : Springer
Page : 370 pages
File Size : 45,9 Mb
Release : 2010-03-10
Category : Science
ISBN : 9783540939184

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Perspectives in Mathematical System Theory, Control, and Signal Processing by Jan C. Willems,Shinji Hara,Yoshito Ohta,Hisaya Fujioka Pdf

This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.

Author : Xiaoming Hu,Ulf Jonsson,Bo Wahlberg,Bijoy Ghosh
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 42,5 Mb
Release : 2010-10-29
Category : Technology & Engineering
ISBN : 9783642112782

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Three Decades of Progress in Control Sciences by Xiaoming Hu,Ulf Jonsson,Bo Wahlberg,Bijoy Ghosh Pdf

In this edited collection we commemorate the 60th birthday of Prof. Christopher Byrnes and the retirement of Prof. Anders Lindquist from the Chair of Optimization and Systems Theory at KTH. These papers were presented in part at a 2009 workshop in KTH, Stockholm, honoring the lifetime contributions of Professors Byrnes and Lindquist in various fields of applied mathematics.

Author : Per Enqvist
Publisher : Unknown
Page : 88 pages
File Size : 45,5 Mb
Release : 1994
Category : Electronic
ISBN : OCLC:186575394

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Control Theory and Splines by Per Enqvist Pdf

Author : Kenneth L. Bowers,John Lund
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461225744

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Computation and Control IV by Kenneth L. Bowers,John Lund Pdf

Proceedings of a conference of leading experts in control theory, numerical mathematics and various application areas. The conference’s interdisciplinary dialogue not only creates new mathematical tools, it often produces new research problems in the individual disciplines, aiming to develop rigorous numerical methods and computational tools for control design and analysis.

Author : Dumitru Baleanu,José António Tenreiro Machado,Albert C. J. Luo
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 53,7 Mb
Release : 2011-11-19
Category : Technology & Engineering
ISBN : 1461404576

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Fractional Dynamics and Control by Dumitru Baleanu,José António Tenreiro Machado,Albert C. J. Luo Pdf

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for engineering and science.

Author : Alessandro Chiuso,Augusto Ferrante,Stefano Pinzoni
Publisher : Springer
Page : 356 pages
File Size : 51,9 Mb
Release : 2007-10-24
Category : Technology & Engineering
ISBN : 9783540735700

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Modeling, Estimation and Control by Alessandro Chiuso,Augusto Ferrante,Stefano Pinzoni Pdf

This Festschrift is intended as a homage to our esteemed colleague, friend and maestro Giorgio Picci on the occasion of his sixty-?fth birthday. We have knownGiorgiosince our undergraduatestudies at the University of Padova, wherewe?rst experiencedhisfascinatingteachingin theclass ofSystem Identi?cation. While progressing through the PhD program, then continuing to collaborate with him and eventually becoming colleagues, we have had many opportunitiesto appreciate the value of Giorgio as a professor and a scientist, and chie?y as a person. We learned a lot from him and we feel indebted for his scienti?c guidance, his constant support, encouragement and enthusiasm. For these reasons we are proud to dedicate this book to Giorgio. The articles in the volume will be presented by prominent researchers at the "--Ternational Conference on Modeling, Estimation and Control: A Symposium in Honor of Giorgio Picci on the Occasion of his Sixty-Fifth Birthday", to be held in Venice on October 4-5, 2007. The material covers a broad range of topics in mathematical systems theory, esti- tion, identi?cation and control, re?ecting the wide network of scienti?c relationships established during the last thirty years between the authors and Giorgio. Critical d- cussion of fundamental concepts, close collaboration on speci?c topics, joint research programs in this group of talented people have nourished the development of the?eld, where Giorgio has contributed to establishing several cornerstones.

Author : De De Visser
Publisher : Wiley-Blackwell
Page : 600 pages
File Size : 49,5 Mb
Release : 2019-09-06
Category : Electronic
ISBN : 1119325617

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Multivariate Splines in Systems and Control Theory by De De Visser Pdf

Author : Jean-Pierre Aubin,Alexandre M. Bayen,Patrick Saint-Pierre
Publisher : Springer Science & Business Media
Page : 803 pages
File Size : 55,8 Mb
Release : 2011-07-13
Category : Science
ISBN : 9783642166846

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Viability Theory by Jean-Pierre Aubin,Alexandre M. Bayen,Patrick Saint-Pierre Pdf

Viability theory designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences. It involves interdisciplinary investigations spanning fields that have traditionally developed in isolation. The purpose of this book is to present an initiation to applications of viability theory, explaining and motivating the main concepts and illustrating them with numerous numerical examples taken from various fields.

Author : M. Kárny,K. Warwick
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461529682

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Mutual Impact of Computing Power and Control Theory by M. Kárny,K. Warwick Pdf

Recent rapid developments in computing power, such as parallel processing and neural networks, have stimulated new trends in control. However a discrepancy exists between available computing power and exploitable algorithms obtained classically from control theory. The aim of this book is to address the discrepancy from both the com putational power and control theory viewpoints. Areas such as identification, adaptive control, signal processing and neural networks therefore hold a prominent position in the text presented. The form of the book is such that it should be useful for readers at various levels, particularly those at the research and/or application stage. The book has resulted from the IFAC Workshop on the Mutual Impact of Computing Power and Control Theory, which was held at the Institute of Information Theory and Automation (UTIA), Prague, in September 1992. Organisation of the event was provided jointly by the Department of Adaptive Systems, UTIA, Prague and the School of Engineering and Information Sciences, University of Reading, UK. Selected papers from the Workshop have been chosen to give a good balance across the field, whilst at the same time highlighting important areas for future research. In this way the book represents edited Proceedings from the Workshop. One point, quickly apparent, is the international nature of the presentations themselves, which provide not only a technical appraisal of the field but also inject cultural aspects which are vitally important on the path ahead.

Author : Petrov
Publisher : Academic Press
Page : 215 pages
File Size : 40,5 Mb
Release : 1968
Category : Computers
ISBN : 9780080955537

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Variational Methods in Optimum Control Theory by Petrov Pdf

Variational Methods in Optimum Control Theory

Author : Wassim M. Haddad
Publisher : Princeton University Press
Page : 744 pages
File Size : 47,7 Mb
Release : 2019-06-04
Category : Mathematics
ISBN : 9780691190143

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A Dynamical Systems Theory of Thermodynamics by Wassim M. Haddad Pdf

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Author : Larry L. Schumaker
Publisher : SIAM
Page : 413 pages
File Size : 54,5 Mb
Release : 2015-01-01
Category : Science
ISBN : 9781611973907

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Spline Functions by Larry L. Schumaker Pdf

This book describes in detail the key algorithms needed for computing with spline functions and illustrates their use in solving several basic problems in numerical analysis, including function approximation, numerical quadrature, data fitting, and the numerical solution of PDE's. The focus is on computational methods for bivariate splines on triangulations in the plane and on the sphere, although both univariate and tensor-product splines are also discussed. The book contains numerous examples and figures to illustrate the methods and their performance. All of the algorithms in the book have been coded in a separate MATLAB package available for license. The package can be used to run all of the examples in the book and also provides readers with the essential tools needed to create software for their own applications. In addition to the included bibliography, a list of over 100 pages of additional references can be found on the book's website.

Author : Vadim Azhmyakov
Publisher : Butterworth-Heinemann
Page : 434 pages
File Size : 49,8 Mb
Release : 2019-02-14
Category : Mathematics
ISBN : 9780128147894

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A Relaxation-Based Approach to Optimal Control of Hybrid and Switched Systems by Vadim Azhmyakov Pdf

A Relaxation Based Approach to Optimal Control of Hybrid and Switched Systems proposes a unified approach to effective and numerically tractable relaxation schemes for optimal control problems of hybrid and switched systems. The book gives an overview of the existing (conventional and newly developed) relaxation techniques associated with the conventional systems described by ordinary differential equations. Next, it constructs a self-contained relaxation theory for optimal control processes governed by various types (sub-classes) of general hybrid and switched systems. It contains all mathematical tools necessary for an adequate understanding and using of the sophisticated relaxation techniques. In addition, readers will find many practically oriented optimal control problems related to the new class of dynamic systems. All in all, the book follows engineering and numerical concepts. However, it can also be considered as a mathematical compendium that contains the necessary formal results and important algorithms related to the modern relaxation theory. Illustrates the use of the relaxation approaches in engineering optimization Presents application of the relaxation methods in computational schemes for a numerical treatment of the sophisticated hybrid/switched optimal control problems Offers a rigorous and self-contained mathematical tool for an adequate understanding and practical use of the relaxation techniques Presents an extension of the relaxation methodology to the new class of applied dynamic systems, namely, to hybrid and switched control systems

Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
Page : 46 pages
File Size : 50,7 Mb
Release : 2018-08-20
Category : Electronic
ISBN : 1722130067

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Control Theory and Splines, Applied to Signature Storage by National Aeronautics and Space Administration (NASA) Pdf

In this report the problem we are going to study is the interpolation of a set of points in the plane with the use of control theory. We will discover how different systems generate different kinds of splines, cubic and exponential, and investigate the effect that the different systems have on the tracking problems. Actually we will see that the important parameters will be the two eigenvalues of the control matrix. Enqvist, Per Unspecified Center ...