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Optimal Control Systems (Electrical Engineering Handbook)

16 July 2010

**Optimal Control Systems (Electrical Engineering Handbook)**

2001 | 464 pages | ISBN:0849308925 | PDF | 14 Mb

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control.Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems

16 July 2010

2001 | 464 pages | ISBN:0849308925 | PDF | 14 Mb

The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control.Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems

Optimal Design of Queueing Systems

13 August 2010

**Optimal Design of Queueing Systems**

Chapman & Hall/CRC | 2009-03-27 | ISBN: 1584880767 | 384 pages | PDF | 14 MB

The First Comprehensive Book on the Subject

Focusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially optimal, class optimal, and facility optimal flow allocations.

13 August 2010

Chapman & Hall/CRC | 2009-03-27 | ISBN: 1584880767 | 384 pages | PDF | 14 MB

The First Comprehensive Book on the Subject

Focusing on the underlying structure of a system, Optimal Design of Queueing Systems explores how to set the parameters of a queueing system, such as arrival and service rates, before putting it into operation. It considers various objectives, comparing individually optimal (Nash equilibrium), socially optimal, class optimal, and facility optimal flow allocations.

Stochastic Optimal Control and the U.S. Financial Debt Crisis

4 April 2012

**Stochastic Optimal Control and the U.S. Financial Debt Crisis**

ISBN: 146143078X | 2012 | 173 pages | PDF | 2.2 MB

Stochastic Optimal Control (SOC)—a mathematical theory concerned with minimizing a cost (or maximizing a payout) pertaining to a controlled dynamic process under uncertainty—has proven incredibly helpful to understanding and predicting debt crises and evaluating proposed financial regulation and risk management. Stochastic Optimal Control and the U.S. Financial Debt Crisis analyzes SOC in relation to the 2008 U.S. financial crisis, and offers a detailed framework depicting why such a methodology is best suited for reducing financial risk and addressing key regulatory issues. Topics discussed include the inadequacies of the current approaches underlying financial regulations, the use of SOC to explain debt crises and superiority over existing approaches to regulation, and the domestic and international applications of SOC to financial crises. Principles in this book will appeal to economists, mathematicians, and researchers interested in the U.S. financial debt crisis and optimal risk management.

4 April 2012

ISBN: 146143078X | 2012 | 173 pages | PDF | 2.2 MB

Stochastic Optimal Control (SOC)—a mathematical theory concerned with minimizing a cost (or maximizing a payout) pertaining to a controlled dynamic process under uncertainty—has proven incredibly helpful to understanding and predicting debt crises and evaluating proposed financial regulation and risk management. Stochastic Optimal Control and the U.S. Financial Debt Crisis analyzes SOC in relation to the 2008 U.S. financial crisis, and offers a detailed framework depicting why such a methodology is best suited for reducing financial risk and addressing key regulatory issues. Topics discussed include the inadequacies of the current approaches underlying financial regulations, the use of SOC to explain debt crises and superiority over existing approaches to regulation, and the domestic and international applications of SOC to financial crises. Principles in this book will appeal to economists, mathematicians, and researchers interested in the U.S. financial debt crisis and optimal risk management.

Optimal Nutrition for Optimal Health

29 January 2011

**Thomas E. Levy - Optimal Nutrition For Optimal Health**

McGraw-Hill | ISBN: 0658016938 | 9/26/2001 | English | 247 pages | PDF | 6.5 MB

29 January 2011

McGraw-Hill | ISBN: 0658016938 | 9/26/2001 | English | 247 pages | PDF | 6.5 MB

Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems

12 February 2011

**Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems**

The book is on infinite dimensional linear control systems as models for control processes governed by partial differential equations. ...

12 February 2011

2005 | 332 | ISBN: 0444516328 | DJVU | 2 Mb

The book is on infinite dimensional linear control systems as models for control processes governed by partial differential equations. ...

Lectures on the Calculus of Variations and Optimal Control Theory

12 August 2011

**Lectures on the Calculus of Variations and Optimal Control Theory**

This book is divided into two parts. The first addresses the simpler variational problems in parametric and nonparametric form. The second covers extensions to optimal control theory. The author opens with the study of three classical problems whose solutions led to the theory of calculus of variations. They are the problem of geodesics, the brachistochrone, and the minimal surface of revolution. He gives a detailed discussion of the Hamilton-Jacobi theory, both in the parametric and nonparametric forms. This leads to the development of sufficiency theories describing properties of minimizing extremal arcs. Next, the author addresses existence theorems. He first develops Hilbert's basic existence theorem for parametric problems and studies some of its consequences. Finally, he develops the theory of generalized curves and ``automatic'' existence theorems. In the second part of the book, the author discusses optimal control problems. He notes that originally these problems were formulated as problems of Lagrange and Mayer in terms of differential constraints. In the control formulation, these constraints are expressed in a more convenient form in terms of control functions. After pointing out the new phenomenon that may arise, namely, the lack of controllability, the author develops the maximum principle and illustrates this principle by standard examples that show the switching phenomena that may occur. He extends the theory of geodesic coverings to optimal control problems. Finally, he extends the problem to generalized optimal control problems and obtains the corresponding existence theorems. ...

12 August 2011

1980 | 337 | ISBN: 082840304X | DJVU | 7 Mb

This book is divided into two parts. The first addresses the simpler variational problems in parametric and nonparametric form. The second covers extensions to optimal control theory. The author opens with the study of three classical problems whose solutions led to the theory of calculus of variations. They are the problem of geodesics, the brachistochrone, and the minimal surface of revolution. He gives a detailed discussion of the Hamilton-Jacobi theory, both in the parametric and nonparametric forms. This leads to the development of sufficiency theories describing properties of minimizing extremal arcs. Next, the author addresses existence theorems. He first develops Hilbert's basic existence theorem for parametric problems and studies some of its consequences. Finally, he develops the theory of generalized curves and ``automatic'' existence theorems. In the second part of the book, the author discusses optimal control problems. He notes that originally these problems were formulated as problems of Lagrange and Mayer in terms of differential constraints. In the control formulation, these constraints are expressed in a more convenient form in terms of control functions. After pointing out the new phenomenon that may arise, namely, the lack of controllability, the author develops the maximum principle and illustrates this principle by standard examples that show the switching phenomena that may occur. He extends the theory of geodesic coverings to optimal control problems. Finally, he extends the problem to generalized optimal control problems and obtains the corresponding existence theorems. ...

Optimal Control Theory: Applications to Management Science and Economics

27 December 2010

**Optimal Control Theory: Applications to Management Science and Economics**

0792386086Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. Central to the book is its extraordinarily wide range of optimal control theory applications. Chapter 5 covers finance; Chapter 6 considers production and inventory problems; Chapter 7 covers marketing problems; Chapter 9 treats machine maintenance and replacement; Chapter 10 deals with problems of optimal consumption of natural resources (renewable or exhaustible); and Chapter 11 discusses a number of applications of control theory to economics. The book has been successfully used as a professional reference tool and as a graduate course book. Its usefulness lies in its emphasis on building applied models of realistic problems faced in a variety of business management situations. ...

27 December 2010

2005 | 504 | ISBN: 0387280928 | DJVU | 3 Mb

0792386086Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. Central to the book is its extraordinarily wide range of optimal control theory applications. Chapter 5 covers finance; Chapter 6 considers production and inventory problems; Chapter 7 covers marketing problems; Chapter 9 treats machine maintenance and replacement; Chapter 10 deals with problems of optimal consumption of natural resources (renewable or exhaustible); and Chapter 11 discusses a number of applications of control theory to economics. The book has been successfully used as a professional reference tool and as a graduate course book. Its usefulness lies in its emphasis on building applied models of realistic problems faced in a variety of business management situations. ...

Nonlinear Controllability and Optimal Control

26 February 2011

**Nonlinear Controllability and Optimal Control**

In recent years, the field of differential geometric control theory has grown and expanded in many directions. A particularly fruitful line of development has been that of putting the new tools to use to attack old control theory problems such as the structure of optimal trajectories and optimal synthesis, local and global controllability, system invertibility, sampling, canonical forms, and the structure of reachable sets. The purpose of this volume is to present an overview of recent results in this direction, and of the techniques used to derive them. It is based on the lectures given by the participants in a workshop on Finite Dimensional Controllability and Optimal Control held at Rutgers University on May 18 to 22, 1987. The workshop brought together a representative group of researchers in the field in order to produce an account of the current state of the art and explore directions of future work. The book contains, in addition to the chapters written by the workshop's participants, a paper kindly contributed by A. A. Agrachev and R. V. Gamkrelidze at the Editor's invitation. ...

26 February 2011

1990 | 488 | ISBN: 0824782585 | DJVU | 3 Mb

In recent years, the field of differential geometric control theory has grown and expanded in many directions. A particularly fruitful line of development has been that of putting the new tools to use to attack old control theory problems such as the structure of optimal trajectories and optimal synthesis, local and global controllability, system invertibility, sampling, canonical forms, and the structure of reachable sets. The purpose of this volume is to present an overview of recent results in this direction, and of the techniques used to derive them. It is based on the lectures given by the participants in a workshop on Finite Dimensional Controllability and Optimal Control held at Rutgers University on May 18 to 22, 1987. The workshop brought together a representative group of researchers in the field in order to produce an account of the current state of the art and explore directions of future work. The book contains, in addition to the chapters written by the workshop's participants, a paper kindly contributed by A. A. Agrachev and R. V. Gamkrelidze at the Editor's invitation. ...

Geometry of Feedback and Optimal Control

5 April 2011

**Geometry of Feedback and Optimal Control**

Gathering the most important and promising results in subfields of nonlinear control theory;previously available only in journals;this comprehensive volume presents the state of the art in geometric methods, their applications in optimal control, and feedback transformations. Shows how geometric control theory draws from other mathematical fields to create its own powerful tools! Elucidating complex material and providing new directions for future research, Geometry of Feedback and Optimal Control discusses the latest applications, illustrating links between topics such as the Pontryagin Maximum Principle, differential geometric and symplectic methods, and the structure of reachable sets furnishes the most recent problems, including feedback stabilization, classification, and invariants covers the optimality of trajectories using the Maslov index delineates the role of singularity theory in stability theory and feedback equivalence explores singularities of systems, reachable sets, and stabilizing and optimal controls and much more! Supplemented with over 1200 references, equations, and drawings, this readily accessible resource is excellent for pure and applied mathematicians, analysts, and applied geometers specializing in control theory, differential equations, calculus of variations, differential geometry, and singularity theory, and graduate-level students in these disciplines. ...

5 April 2011

1997 | 584 | ISBN: 0824790685 | DJVU | 4 Mb

Gathering the most important and promising results in subfields of nonlinear control theory;previously available only in journals;this comprehensive volume presents the state of the art in geometric methods, their applications in optimal control, and feedback transformations. Shows how geometric control theory draws from other mathematical fields to create its own powerful tools! Elucidating complex material and providing new directions for future research, Geometry of Feedback and Optimal Control discusses the latest applications, illustrating links between topics such as the Pontryagin Maximum Principle, differential geometric and symplectic methods, and the structure of reachable sets furnishes the most recent problems, including feedback stabilization, classification, and invariants covers the optimality of trajectories using the Maslov index delineates the role of singularity theory in stability theory and feedback equivalence explores singularities of systems, reachable sets, and stabilizing and optimal controls and much more! Supplemented with over 1200 references, equations, and drawings, this readily accessible resource is excellent for pure and applied mathematicians, analysts, and applied geometers specializing in control theory, differential equations, calculus of variations, differential geometry, and singularity theory, and graduate-level students in these disciplines. ...

Nonsmooth Optimization: Analysis and Algorithms With Applications to Optimal Control

16 April 2011

**Nonsmooth Optimization: Analysis and Algorithms With Applications to Optimal Control**

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered. ...

16 April 2011

1992 | 268 | ISBN: 9810207735 | DJVU | 4 Mb

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from optimal control of systems covered by partial differential equations. Several practical problems, like process control and optimal shape design problems are considered. ...