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Spline Approach To Optimal Control Problems With Constraints
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Book Synopsis Control Theoretic Splines by : Magnus Egerstedt
Download or read book Control Theoretic Splines written by Magnus Egerstedt and published by Princeton University Press. This book was released on 2009-12-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Hilbertian Kernels and Spline Functions by : M. Atteia
Download or read book Hilbertian Kernels and Spline Functions written by M. Atteia and published by Elsevier. This book was released on 2014-06-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as piecewise functions type.Being as far as possible self-contained, the book may be used as a reference, with information about developments in linear approximation, convex optimization, mechanics and partial differential equations.
Book Synopsis The First Outstanding 50 Years of “Università Politecnica delle Marche” by : Sauro Longhi
Download or read book The First Outstanding 50 Years of “Università Politecnica delle Marche” written by Sauro Longhi and published by Springer Nature. This book was released on 2019-12-16 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes the significant multidisciplinary research findings at the Università Politecnica delle Marche and the expected future advances. It addresses some of the most dramatic challenges posed by today’s fast-growing, global society and the changes it has caused. It also discusses solutions to improve the wellbeing of human beings. The book covers the main research achievements in the different disciplines of the physical sciences and engineering, as well as several research lines developed at the university’s Faculty of Engineering in the fields of electronic and information engineering, telecommunications, biomedical engineering, mechanical engineering, manufacturing technologies, energy, advanced materials, chemistry, physics of matter, mathematical sciences, geotechnical engineering, circular economy, urban planning, construction engineering, infrastructures and environment protection, technologies and digitization of the built environment and cultural heritage. It highlights the international relevance and multidisciplinarity of research at the university as well as the planned research lines for the next years.
Book Synopsis ROMANSY 22 – Robot Design, Dynamics and Control by : Vigen Arakelian
Download or read book ROMANSY 22 – Robot Design, Dynamics and Control written by Vigen Arakelian and published by Springer. This book was released on 2018-05-19 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers that have been selected after review for oral presentation at ROMANSY 2018, the 22nd CISM-IFToMM Symposium on Theory and Practice of Robots and Manipulators. These papers cover advances on several aspects of the wide field of Robotics as concerning Theory and Practice of Robots and Manipulators. ROMANSY 2018 is the 22nd event in a series that started in 1973 as one of the first conference activities in the world on Robotics. The first event was held at CISM (International Centre for Mechanical Science) in Udine, Italy on 5-8 September 1973. It was also the first topic conference of IFToMM (International Federation for the Promotion of Mechanism and Machine Science) and it was directed not only to the IFToMM community.
Book Synopsis Optimization Methods and Applications by : Xiao-qi Yang
Download or read book Optimization Methods and Applications written by Xiao-qi Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is dedicated to Professor N. U. Ahmed, a leading scholar and a renowned researcher in optimal control and optimization on the occasion of his retirement from the Department of Electrical Engineering at University of Ottawa in 1999. The contributions of this volume are in the areas of optimal control, non linear optimization and optimization applications. They are mainly the im proved and expanded versions of the papers selected from those presented in two special sessions of two international conferences. The first special session is Optimization Methods, which was organized by K. L. Teo and X. Q. Yang for the International Conference on Optimization and Variational Inequality, the City University of Hong Kong, Hong Kong, 1998. The other one is Optimal Control, which was organized byK. ~Teo and L. Caccetta for the Dynamic Control Congress, Ottawa, 1999. This volume is divided into three parts: Optimal Control; Optimization Methods; and Applications. The Optimal Control part is concerned with com putational methods, modeling and nonlinear systems. Three computational methods for solving optimal control problems are presented: (i) a regularization method for computing ill-conditioned optimal control problems, (ii) penalty function methods that appropriately handle final state equality constraints, and (iii) a multilevel optimization approach for the numerical solution of opti mal control problems. In the fourth paper, the worst-case optimal regulation involving linear time varying systems is formulated as a minimax optimal con trol problem.
Book Synopsis Splines and PDEs: From Approximation Theory to Numerical Linear Algebra by : Angela Kunoth
Download or read book Splines and PDEs: From Approximation Theory to Numerical Linear Algebra written by Angela Kunoth and published by Springer. This book was released on 2018-09-20 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. More precisely, the book provides (i) a self-contained introduction to B-splines, with special focus on approximation and hierarchical refinement, (ii) a broad survey of numerical schemes for control problems based on B-splines and B-spline-type wavelets, (iii) an exhaustive description of methods for computing and analyzing the spectral distribution of discretization matrices, and (iv) a detailed overview of the mathematical and implementational aspects of isogeometric analysis. The text is the outcome of a C.I.M.E. summer school held in Cetraro (Italy), July 2017, featuring four prominent lecturers with different theoretical and application perspectives. The book may serve both as a reference and an entry point into further research.
Book Synopsis A Reproducing Kernel Hilbert Space Approach to Spline Problems with Applications in Estimation and Control by : Stanford University. Stanford Electronics Laboratories
Download or read book A Reproducing Kernel Hilbert Space Approach to Spline Problems with Applications in Estimation and Control written by Stanford University. Stanford Electronics Laboratories and published by . This book was released on 1972 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solutions to several optimization problems involve generalized spline functions. Existing algorithms for calculating splines cannot be easily updated with the addition of new data, and are therefore not suitable for real-time computation when data are acquired sequentially. In the thesis, recursive algorithms are developed for the problems of optimal interpolation and smoothing, and optimal approximation of linear functionals, when the underlying space of functions is a reproducing kernel Hilbert space. It is shown that these deterministic problems have equivalent stochastic least-squares estimation problems, and that the recursive solution of each deterministic problem corresponds to the recursive solution of the associated stochastic problem in which a discrete innovation sequence is computed. In addition, it is shown that the problem of computing the minimum-energy control of a linear time-varying system that yields an output satisfying certain functional constraints is a spline problem and can be solved recursively using the above methods. (Author).
Book Synopsis Statistical Inference Via Convex Optimization by : Anatoli Juditsky
Download or read book Statistical Inference Via Convex Optimization written by Anatoli Juditsky and published by Princeton University Press. This book was released on 2020-04-07 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book draws on the latest research to explore the interplay of high-dimensional statistics with optimization. Through an accessible analysis of fundamental problems of hypothesis testing and signal recovery, Anatoli Juditsky and Arkadi Nemirovski show how convex optimization theory can be used to devise and analyze near-optimal statistical inferences. Statistical Inference via Convex Optimization is an essential resource for optimization specialists who are new to statistics and its applications, and for data scientists who want to improve their optimization methods. Juditsky and Nemirovski provide the first systematic treatment of the statistical techniques that have arisen from advances in the theory of optimization. They focus on four well-known statistical problems—sparse recovery, hypothesis testing, and recovery from indirect observations of both signals and functions of signals—demonstrating how they can be solved more efficiently as convex optimization problems. The emphasis throughout is on achieving the best possible statistical performance. The construction of inference routines and the quantification of their statistical performance are given by efficient computation rather than by analytical derivation typical of more conventional statistical approaches. In addition to being computation-friendly, the methods described in this book enable practitioners to handle numerous situations too difficult for closed analytical form analysis, such as composite hypothesis testing and signal recovery in inverse problems. Statistical Inference via Convex Optimization features exercises with solutions along with extensive appendixes, making it ideal for use as a graduate text.
Book Synopsis Computational Mathematical Programming by : Klaus Schittkowski
Download or read book Computational Mathematical Programming written by Klaus Schittkowski and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the written versions of main lectures presented at the Advanced Study Institute (ASI) on Computational Mathematical Programming, which was held in Bad Windsheim, Germany F. R., from July 23 to August 2, 1984, under the sponsorship of NATO. The ASI was organized by the Committee on Algorithms (COAL) of the Mathematical Programming Society. Co-directors were Karla Hoffmann (National Bureau of Standards, Washington, U.S.A.) and Jan Teigen (Rabobank Nederland, Zeist, The Netherlands). Ninety participants coming from about 20 different countries attended the ASI and contributed their efforts to achieve a highly interesting and stimulating meeting. Since 1947 when the first linear programming technique was developed, the importance of optimization models and their mathematical solution methods has steadily increased, and now plays a leading role in applied research areas. The basic idea of optimization theory is to minimize (or maximize) a function of several variables subject to certain restrictions. This general mathematical concept covers a broad class of possible practical applications arising in mechanical, electrical, or chemical engineering, physics, economics, medicine, biology, etc. There are both industrial applications (e.g. design of mechanical structures, production plans) and applications in the natural, engineering, and social sciences (e.g. chemical equilibrium problems, christollography problems).
Book Synopsis Practical Methods for Optimal Control and Estimation Using Nonlinear Programming by : John T. Betts
Download or read book Practical Methods for Optimal Control and Estimation Using Nonlinear Programming written by John T. Betts and published by SIAM. This book was released on 2010-01-01 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Robot Control 1991 (SYROCO'91) by : I. Troch
Download or read book Robot Control 1991 (SYROCO'91) written by I. Troch and published by Elsevier. This book was released on 2014-05-23 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 92 papers on the state-of-the-art in robotics research. In this volume topics on modelling and identification are treated first as they build the basis for practically all control aspects. Then, the most basic control tasks are discussed i.e. problems of inverse kinematics. Groups of papers follow which deal with various advanced control aspects. They range from rather general methods to more specialized topics such as force control and control of hydraulic robots. The problem of path planning is addressed and strategies for robots with one arm, for mobile robots and for multiple arm robots are presented. Also covered are computational improvements and software tools for simulation and control, the integration of sensors and sensor signals in robot control.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics Applied to Engineering, Modelling, and Social Issues by : Frank T. Smith
Download or read book Mathematics Applied to Engineering, Modelling, and Social Issues written by Frank T. Smith and published by Springer. This book was released on 2019-03-14 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1997 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control Applications of Nonlinear Programming and Optimization by : G. Di Pillo
Download or read book Control Applications of Nonlinear Programming and Optimization written by G. Di Pillo and published by Elsevier. This book was released on 2014-05-17 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Applications of Nonlinear Programming and Optimization presents the proceedings of the Fifth IFAC Workshop held in Capri, Italy on June 11-14, 1985. The book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems. The text also discusses specific applications concerned with the optimization of aircraft trajectories, of mineral and metallurgical processes, of wind tunnels, and of nuclear reactors. The book also considers computer-aided design of control systems. The book is useful to mathematicians, engineers, and computer engineers.
Book Synopsis Computer Animation and Simulation ’96 by : Ronan Boulic
Download or read book Computer Animation and Simulation ’96 written by Ronan Boulic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 14 papers in this volume vividly demonstrate the current state of research in real-time animation. Half of the papers are dedicated to algorithm allowing the real-time animation of complex articulated structure in particular (humans, legged robots, plants) and of dynamic scenes in general. The proposed approaches cover from motion capture to motion reusability which are essential issues for high-end applications as 3D games, virtual reality, etc. Other topics treated are motion management for fast design of realistic movements, 2D and 3D deformations, and various optimization techniques for simulation (adaptive mass-spring refinement, huge particule systems).
