2 edition of **Nonlinear programming and optimal control** found in the catalog.

Nonlinear programming and optimal control

P. P. Varaiya

- 369 Want to read
- 33 Currently reading

Published
**1966**
by For sale by the Clearinghouse for Federal Scientific and Technical Information in Springfield, Va
.

Written in English

- Control theory.,
- Programming (Mathematics).

**Edition Notes**

Statement | by Pravin P. Varaiya. |

Series | NASA contractor report,, NASA CR-479 |

Contributions | University of California, Berkeley., United States. National Aeronautics and Space Administration. |

Classifications | |
---|---|

LC Classifications | TL521.3.C6 A3 no. 479 |

The Physical Object | |

Pagination | iii, 59 p. |

Number of Pages | 59 |

ID Numbers | |

Open Library | OL6008507M |

LC Control Number | 66061490 |

OCLC/WorldCa | 11700057 |

In this aim, it is successful: its contribution is to demonstrate how advances in numerical techniques have enabled advances in the solution of optimal control problems, particularly large sparse nonlinear programming problems, and systems of differential-algebraic equations. The book is well written and carefully presented. Practical methods for optimal control using nonlinear programming John T. Betts The focus is on practical methods, i.e., methods that the author has found to actually work.

This is a substantially expanded (by pages) and improved edition of our best-selling nonlinear programming book. The treatment focuses on iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and on the interface between continuous and discrete optimization. This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering. The author provides a firm grounding in fundamental NLP properties and algorithms, and relates them to real-world problem classes in process optimization, thus making the material understandable and useful to chemical .

This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering.1/5(1). INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL Int. J. Robust Nonlinear Control ; – BOOK REVIEW practical methods for optimal control using nonlinear programming, John T. Betts, SIAM, Philadelphia, PA, , ISBN There have been a number of other books on optimal control. Some of these develop the necessary Cited by: 1.

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The author's general discussion of the topic maintains a focused and concise presentation. Using modern computational methods based on nonlinear programming algorithms, he introduces the basic material necessary to solve an optimal control problem.

There are two major parts of a successful optimal control solution by: The interaction between optimization and integration is emphasized throughout the book. The relevant background in nonlinear programming methods that exploit sparse matrix technology is presented, along with description of discretization techniques for solving differential-algebraic by: From the Back Cover Nonlinear and Optimal Control Systems offers a self-contained introduction to analysis techniques used in the design of nonlinear and optimal feedback control systems, with a solid emphasis on the fundamental topics of stability, controllability, optimality, and Cited by: Applications of Nonlinear Programming to Optimization and Control is a collection of papers presented at the Fourth International Federation of Automatic Control Workshop by the same title, held in San Francisco, California on JuneThe book was developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete by: Control Applications of Nonlinear Programming and Optimization presents the proceedings of the Fifth IFAC Workshop held in Capri, Italy on JuneThe book covers various aspects of the optimization of control systems and of the numerical solution of optimization problems.

Purchase Applications of Nonlinear Programming to Optimization and Control - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. From the reviews: "The book contains a comprehensive presentation of methods for unconstrained and constrained optimization problems.

The main strength of the book is the precise convergence analysis of most nonlinear programming algorithms presented, and it is especially comprehensive for line search, Newton, quasi-Newton, trust region and SQP methods. Bazaraa, Sherali, and Shetty, Nonlinear Optimization, 2/e, Wiley Griva, Nash, and Sofer, Linear and Nonlinear Optimization, 2/e, SIAM Press Luenberger, Linear and.

Nonlinear Programming 13 Numerous mathematical-programming applications, including many introduced in previous chapters, are cast naturally as linear programs. Linear programming assumptions or approximations may also lead to appropriate problem representations over the range of decision variables being considered.

At other times. A finite-dimensional representation of the control was used in order to formulate the general optimal control problems as a nonlinear program, which was solved by standard nonlinear programming algorithms. Some nonlinear programming and optimal control algorithms require the solution of additional unconstrained minimization problems.

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In summary, Practical Methods for Optimal Control using Nonlinear Programming will be useful and is recommended to researchers and engineers in industry and academia whose projects involve solving optimal control/trajectory optimization problems.

The book can also be used, as a supplemental text, in graduate-level university courses on optimal control and numerical methods in optimal by: This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering.

Comprised of 14 chapters, this book begins by describing the application of nonlinear programming to an optimum design problem coming from mechanical Edition: 1.

"The 80 pages constituting the four appendixes serve as a masterfully written introduction to the field of nonlinear programming that can be used as a self-contained monograph. Teachers using this book could easily assign these appendixes as introductory or remedial material." --Review by Olvi Mangasarian, Optima, March /5(8).

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Programming and Optimal Control' by the same author, Its applicability to nonlinear programming methods depends on whether we can also describe a separating hyperplane of two or more convex. Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on MayThis book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinear programming problems.

This compilation consists of 17 chapters.linear programming, optimal control, and solution of large-scale systems via decomposition. We have proposed a model problem which is a generalization of the usual nonlinear programming pro- blem, and which subsumes these three classes.

We derive nec- essary conditions for File Size: 1MB.The interaction between optimization and integration is emphasized throughout the book. Practical Methods for Optimal Control and Estimation Using Nonlinear Programming, Second Edition includes presentation of relevant background in nonlinear programming methods that exploit sparse matrix technology, along with description of discretization techniques for solving differential-algebraic .