The Optimal Design of Chemical Reactors
The Optimal Design of Chemical Reactors

Author: Rutherford Aris

Publisher: Elsevier

Published: 2016-06-03

Total Pages: 204

ISBN-13: 1483221431

DOWNLOAD EBOOK

Mathematics in Science and Engineering, Volume 3: The Optimal Design of Chemical Reactors: A Study in Dynamic Programming covers some of the significant problems of chemical reactor engineering from a unified point of view. This book discusses the principle of optimality in its general baring on chemical processes. Organized into nine chapters, this volume begins with an overview of the whole range of optimal problems in chemical reactor design. This text then provides the fundamental equations for reactions and reactors. Other chapters consider the objective function needed to define a realistic optimal problem and explain separately the main types of chemical reactors and their associated problems. This book discusses as well the three problems with a stochastic element. The final chapter deals with the optimal operation of existing reactors that may be regarded as partial designs in which only some of the variables can be optimally chosen. This book is a valuable resource for chemical engineers.

Optimal Control Theory
Optimal Control Theory

Author: Donald E. Kirk

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 466

ISBN-13: 0486135071

DOWNLOAD EBOOK

Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.

Optimal Periodic Control
Optimal Periodic Control

Author: Fritz Colonius

Publisher: Springer

Published: 2006-11-15

Total Pages: 183

ISBN-13: 3540391703

DOWNLOAD EBOOK

This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.

Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology
Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology

Author: Neculai Andrei

Publisher: Springer

Published: 2017-12-04

Total Pages: 514

ISBN-13: 3319583565

DOWNLOAD EBOOK

This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications. Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraic representation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.

The Optimal Design of Chemical Reactors A Study in Dynamic Programming by Rutherford Aris
The Optimal Design of Chemical Reactors A Study in Dynamic Programming by Rutherford Aris

Author: Rutherford Aris

Publisher: Elsevier

Published: 2000-04-01

Total Pages: 204

ISBN-13: 008095779X

DOWNLOAD EBOOK

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Nonlinear Optimization Applications Using the GAMS Technology
Nonlinear Optimization Applications Using the GAMS Technology

Author: Neculai Andrei

Publisher: Springer Science & Business Media

Published: 2013-06-22

Total Pages: 356

ISBN-13: 1461467977

DOWNLOAD EBOOK

Here is a collection of nonlinear optimization applications from the real world, expressed in the General Algebraic Modeling System (GAMS). The concepts are presented so that the reader can quickly modify and update them to represent real-world situations.