Reduced Successive Quadratic Programming in Hilbert Space with Applications to Optimal Control

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ISBN 13 :
Total Pages : 157 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Reduced Successive Quadratic Programming in Hilbert Space with Applications to Optimal Control by : Frank-Stephan Kupfer

Download or read book Reduced Successive Quadratic Programming in Hilbert Space with Applications to Optimal Control written by Frank-Stephan Kupfer and published by . This book was released on 1992 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Optimal Control

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Publisher : Birkhäuser
ISBN 13 : 3034884974
Total Pages : 382 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Computational Optimal Control by : Roland Bulirsch

Download or read book Computational Optimal Control written by Roland Bulirsch and published by Birkhäuser. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resources should be used sparingly both from a point of view of economy and eco logy. Thus in controlling industrial, economical and social processes, optimization is the tool of choice. In this area of applied numerical analysis, the INTERNATIONAL FEDERATION OF AUTOMATIC CONTROL (IFAC) acts as a link between research groups in universities, national research laboratories and industry. For this pur pose, the technical committee Mathematics of Control of IFAC organizes biennial conferences with the objective of bringing together experts to exchange ideas, ex periences and future developments in control applications of optimization. There should be a genuine feedback loop between mathematicians, computer scientists, engineers and software developers. This loop should include the design, application and implementation of algorithms. The contributions of industrial practitioners are especially important. These proceedings contain selected papers from a workshop on CONTROL Ap PLICATIONS OF OPTIMIZATION, which took place at the Fachhochschule Miinchen in September 1992. The workshop was the ninth in a series of very successful bien nial meetings, starting with the Joint Automatic Control Conference in Denver in 1978 and followed by conferences in London, Oberpfaffenhofen, San Francisco, Ca pri, Tbilisi and Paris. The workshop was attended by ninety researchers from four continents. This volume represents the state of the art in the field, with emphasis on progress made since the publication of the proceedings of the Capri meeting, edited by G. di Pillo under the title 'Control Applications of Optimization and Nonlinear Programming'.

Optimal Control

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Publisher : Birkhäuser
ISBN 13 : 3034875398
Total Pages : 352 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Optimal Control by : Bulirsch

Download or read book Optimal Control written by Bulirsch and published by Birkhäuser. This book was released on 2013-03-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Optimal Control" reports on new theoretical and practical advances essential for analysing and synthesizing optimal controls of dynamical systems governed by partial and ordinary differential equations. New necessary and sufficient conditions for optimality are given. Recent advances in numerical methods are discussed. These have been achieved through new techniques for solving large-sized nonlinear programs with sparse Hessians, and through a combination of direct and indirect methods for solving the multipoint boundary value problem. The book also focuses on the construction of feedback controls for nonlinear systems and highlights advances in the theory of problems with uncertainty. Decomposition methods of nonlinear systems and new techniques for constructing feedback controls for state- and control constrained linear quadratic systems are presented. The book offers solutions to many complex practical optimal control problems.

Large Scale Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1461336325
Total Pages : 470 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Large Scale Optimization by : William W. Hager

Download or read book Large Scale Optimization written by William W. Hager and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: On February 15-17, 1993, a conference on Large Scale Optimization, hosted by the Center for Applied Optimization, was held at the University of Florida. The con ference was supported by the National Science Foundation, the U. S. Army Research Office, and the University of Florida, with endorsements from SIAM, MPS, ORSA and IMACS. Forty one invited speakers presented papers on mathematical program ming and optimal control topics with an emphasis on algorithm development, real world applications and numerical results. Participants from Canada, Japan, Sweden, The Netherlands, Germany, Belgium, Greece, and Denmark gave the meeting an important international component. At tendees also included representatives from IBM, American Airlines, US Air, United Parcel Serice, AT & T Bell Labs, Thinking Machines, Army High Performance Com puting Research Center, and Argonne National Laboratory. In addition, the NSF sponsored attendance of thirteen graduate students from universities in the United States and abroad. Accurate modeling of scientific problems often leads to the formulation of large scale optimization problems involving thousands of continuous and/or discrete vari ables. Large scale optimization has seen a dramatic increase in activities in the past decade. This has been a natural consequence of new algorithmic developments and of the increased power of computers. For example, decomposition ideas proposed by G. Dantzig and P. Wolfe in the 1960's, are now implement able in distributed process ing systems, and today many optimization codes have been implemented on parallel machines.

Optimal Quadratic Programming Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 0387848061
Total Pages : 293 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Optimal Quadratic Programming Algorithms by : Zdenek Dostál

Download or read book Optimal Quadratic Programming Algorithms written by Zdenek Dostál and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed algorithms for solving large QP problems and focuses on algorithms which are, in a sense optimal, i.e., they can solve important classes of problems at a cost proportional to the number of unknowns. For each algorithm presented, the book details its classical predecessor, describes its drawbacks, introduces modifications that improve its performance, and demonstrates these improvements through numerical experiments. This self-contained monograph can serve as an introductory text on quadratic programming for graduate students and researchers. Additionally, since the solution of many nonlinear problems can be reduced to the solution of a sequence of QP problems, it can also be used as a convenient introduction to nonlinear programming.

Design of Computational Algorithms for Optimal Control by Hilbert Space Methods

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ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Design of Computational Algorithms for Optimal Control by Hilbert Space Methods by : William A. Gruver (III.)

Download or read book Design of Computational Algorithms for Optimal Control by Hilbert Space Methods written by William A. Gruver (III.) and published by . This book was released on 1971 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design of computational algorithms for optical control by Hilbert space methods, and involving cost function.

On the Application of Sequential Quadratic Programming to State-constrained Optimal Control Problems

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ISBN 13 :
Total Pages : 39 pages
Book Rating : 4.:/5 (46 download)

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Book Synopsis On the Application of Sequential Quadratic Programming to State-constrained Optimal Control Problems by : J. L. de Jong

Download or read book On the Application of Sequential Quadratic Programming to State-constrained Optimal Control Problems written by J. L. de Jong and published by . This book was released on 1985 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Quadratic Programming Algorithms

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Publisher : Springer
ISBN 13 : 9780387571447
Total Pages : 0 pages
Book Rating : 4.5/5 (714 download)

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Book Synopsis Optimal Quadratic Programming Algorithms by : Zdenek Dostál

Download or read book Optimal Quadratic Programming Algorithms written by Zdenek Dostál and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed algorithms for solving large QP problems and focuses on algorithms which are, in a sense optimal, i.e., they can solve important classes of problems at a cost proportional to the number of unknowns. For each algorithm presented, the book details its classical predecessor, describes its drawbacks, introduces modifications that improve its performance, and demonstrates these improvements through numerical experiments. This self-contained monograph can serve as an introductory text on quadratic programming for graduate students and researchers. Additionally, since the solution of many nonlinear problems can be reduced to the solution of a sequence of QP problems, it can also be used as a convenient introduction to nonlinear programming.

Optimal Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1475760957
Total Pages : 529 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Optimal Control by : William W. Hager

Download or read book Optimal Control written by William W. Hager and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: February 27 - March 1, 1997, the conference Optimal Control: The ory, Algorithms, and Applications took place at the University of Florida, hosted by the Center for Applied Optimization. The conference brought together researchers from universities, industry, and government laborato ries in the United States, Germany, Italy, France, Canada, and Sweden. There were forty-five invited talks, including seven talks by students. The conference was sponsored by the National Science Foundation and endorsed by the SIAM Activity Group on Control and Systems Theory, the Mathe matical Programming Society, the International Federation for Information Processing (IFIP), and the International Association for Mathematics and Computers in Simulation (IMACS). Since its inception in the 1940s and 1950s, Optimal Control has been closely connected to industrial applications, starting with aerospace. The program for the Gainesville conference, which reflected the rich cross-disci plinary flavor of the field, included aerospace applications as well as both novel and emerging applications to superconductors, diffractive optics, non linear optics, structural analysis, bioreactors, corrosion detection, acoustic flow, process design in chemical engineering, hydroelectric power plants, sterilization of canned foods, robotics, and thermoelastic plates and shells. The three days of the conference were organized around the three confer ence themes, theory, algorithms, and applications. This book is a collection of the papers presented at the Gainesville conference. We would like to take this opportunity to thank the sponsors and participants of the conference, the authors, the referees, and the publisher for making this volume possible.

Parametric Optimization with Applications to Optimal Control and Sequential Quadratic Programming

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ISBN 13 :
Total Pages : 169 pages
Book Rating : 4.:/5 (28 download)

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Book Synopsis Parametric Optimization with Applications to Optimal Control and Sequential Quadratic Programming by : W. Alt

Download or read book Parametric Optimization with Applications to Optimal Control and Sequential Quadratic Programming written by W. Alt and published by . This book was released on 1991 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lagrange Multiplier Approach to Variational Problems and Applications

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Publisher : SIAM
ISBN 13 : 9780898718614
Total Pages : 359 pages
Book Rating : 4.7/5 (186 download)

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Book Synopsis Lagrange Multiplier Approach to Variational Problems and Applications by : Kazufumi Ito

Download or read book Lagrange Multiplier Approach to Variational Problems and Applications written by Kazufumi Ito and published by SIAM. This book was released on 2008-01-01 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model.

Optimal Control of Partial Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849042
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Optimal Control of Partial Differential Equations by : Fredi Tröltzsch

Download or read book Optimal Control of Partial Differential Equations written by Fredi Tröltzsch and published by American Mathematical Soc.. This book was released on 2010 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. It includes topics on the existence of optimal solutions.

The Structure of Quadratic Programming in Real Hilbert Space

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Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (28 download)

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Book Synopsis The Structure of Quadratic Programming in Real Hilbert Space by : Richard Joseph Kelly

Download or read book The Structure of Quadratic Programming in Real Hilbert Space written by Richard Joseph Kelly and published by . This book was released on 1962 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reduced Hessian Successive Quadratic Programming for Realtime Optimization

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ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Reduced Hessian Successive Quadratic Programming for Realtime Optimization by : Claudia Schmid

Download or read book Reduced Hessian Successive Quadratic Programming for Realtime Optimization written by Claudia Schmid and published by . This book was released on 1994 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Reduced Hessian Successive Quadratic Programming (SQP) is well suited for the solution of large-scale process optimization problems with many variables and constraints but few degrees of freedom. The reduced space method involves four major steps: an initial preprocessing phase followed by an iterative procedure which requires the solution of a set of nonlinear equations, a QP subproblem and a line search. The overall performance of the algorithm depends directly on the robustness and computational efficiency of the techniques used to handle each of these sub-tasks. Here, we discuss improvements to all of these steps in order to specialize this approach to real-time optimization. A numerical comparison of reduced Hessian SQP with MINOS (Murtagh and Saunders, 1982, 1987) is provided for the optimization of the Sunoco Hydrocracker Fractionation Plant (Bailey et al., 1992). The case study consists of about 3000 variables and constraints and includes several scenarios related to parameter estimation and on-line process-wide optimization. A study of the effect of optimizing the DIB distillation column which constitutes a subproblem of the Sunoco example is also included. The results indicate that our algorithm is at least as robust and an order of magnitude faster than MINOS for this set of problems."

Iterative Methods for Minimizing Functionals on a Hilbert Space with Application to Optimal Control Problems

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ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.:/5 (548 download)

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Book Synopsis Iterative Methods for Minimizing Functionals on a Hilbert Space with Application to Optimal Control Problems by : Albert A. Fredericks

Download or read book Iterative Methods for Minimizing Functionals on a Hilbert Space with Application to Optimal Control Problems written by Albert A. Fredericks and published by . This book was released on 1970 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 768 pages
Book Rating : 4.:/5 (3 download)

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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 1994 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Design of Computational Algorithms for Optimal Control by Hilbert Space Methods

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ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (244 download)

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Book Synopsis Design of Computational Algorithms for Optimal Control by Hilbert Space Methods by : William Almer Gruver

Download or read book Design of Computational Algorithms for Optimal Control by Hilbert Space Methods written by William Almer Gruver and published by . This book was released on 1970 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: