Singular Optimal Control

Author : Liyi Dai
Publisher : Springer
Page : 334 pages
File Size : 48,9 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 3662193914

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Singular Control Systems by Liyi Dai Pdf

This monograph is sums up the development of singular system theory and provides the control circle with a systematic theory of the system. It focuses on the analysis and synthesis of singular control systems. Its distinctive features include systematic discussion of controllabilities and observabilities, design of singular or normal observers and compensators with their structural stability, systems analysis via transfer matrix, and studies of discrete-time singular systems. Some acquaintance with linear algebra and linear systems is assumed. Prospective readers are graduate students, scientists, and other researchers in control theory and its applications. Much of the material in the book is new.

Author : Anonim
Publisher : Elsevier
Page : 204 pages
File Size : 54,8 Mb
Release : 1975-10-29
Category : Mathematics
ISBN : 9780080956268

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Singular Optimal Control Problems by Anonim Pdf

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

Author : El-Kébir Boukas
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 41,7 Mb
Release : 2008-01-12
Category : Technology & Engineering
ISBN : 9783540743453

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Control of Singular Systems with Random Abrupt Changes by El-Kébir Boukas Pdf

This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Author : D. J. Clements,B. D. O. Anderson
Publisher : Springer
Page : 93 pages
File Size : 50,8 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 3662161397

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Singular Optimal Control: The Linear-Quadratic Problem by D. J. Clements,B. D. O. Anderson Pdf

Author : Desineni S. Naidu
Publisher : IET
Page : 314 pages
File Size : 44,9 Mb
Release : 1988
Category : Technology & Engineering
ISBN : 086341107X

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Singular Perturbation Methodology in Control Systems by Desineni S. Naidu Pdf

This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Author : David J. Clements,Brian D. O. Anderson
Publisher : Springer
Page : 108 pages
File Size : 51,7 Mb
Release : 1978
Category : Control theory
ISBN : UOM:39015000981319

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Singular Optimal Control by David J. Clements,Brian D. O. Anderson Pdf

Author : David N. Burghes,Alexander Graham
Publisher : Unknown
Page : 406 pages
File Size : 41,7 Mb
Release : 1980
Category : Science
ISBN : UOM:39015011739623

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Introduction to Control Theory, Including Optimal Control by David N. Burghes,Alexander Graham Pdf

Author : Semen Ya. Serovaiskii
Publisher : Walter de Gruyter
Page : 185 pages
File Size : 53,7 Mb
Release : 2011-12-01
Category : Mathematics
ISBN : 9783110915532

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Counterexamples in Optimal Control Theory by Semen Ya. Serovaiskii Pdf

This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.

Author : Mike Mesterton-Gibbons
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847725

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A Primer on the Calculus of Variations and Optimal Control Theory by Mike Mesterton-Gibbons Pdf

The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.

Author : Bulirsch,Miele,Stoer,Well
Publisher : Birkhäuser
Page : 352 pages
File Size : 45,7 Mb
Release : 2013-03-08
Category : Science
ISBN : 9783034875394

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Optimal Control by Bulirsch,Miele,Stoer,Well Pdf

"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.

Author : Dieter Grass,Jonathan P. Caulkins,Gustav Feichtinger,Gernot Tragler,Doris A. Behrens
Publisher : Springer Science & Business Media
Page : 552 pages
File Size : 49,5 Mb
Release : 2008-07-24
Category : Business & Economics
ISBN : 9783540776475

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Optimal Control of Nonlinear Processes by Dieter Grass,Jonathan P. Caulkins,Gustav Feichtinger,Gernot Tragler,Doris A. Behrens Pdf

Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.

Author : Suzanne Lenhart,John T. Workman
Publisher : CRC Press
Page : 272 pages
File Size : 41,6 Mb
Release : 2007-05-07
Category : Mathematics
ISBN : 9781420011418

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Optimal Control Applied to Biological Models by Suzanne Lenhart,John T. Workman Pdf

From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t

Author : Terry A. Straeter
Publisher : Unknown
Page : 26 pages
File Size : 40,8 Mb
Release : 1970
Category : Extremal problems (Mathematics)
ISBN : UIUC:30112106859413

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Singular Extremaloids in Optimal Control Theory and the Calculus of Variations by Terry A. Straeter Pdf

This report demonstrates the relationships of the various definitions of extremaloids to optimal control problems and Lagrange problems based on Pontryagin principles.

Author : Qingling Zhang,Chao Liu,Xue Zhang
Publisher : Springer
Page : 237 pages
File Size : 51,8 Mb
Release : 2012-02-16
Category : Technology & Engineering
ISBN : 9781447123033

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Complexity, Analysis and Control of Singular Biological Systems by Qingling Zhang,Chao Liu,Xue Zhang Pdf

Complexity, Analysis and Control of Singular Biological Systems follows the control of real-world biological systems at both ecological and phyisological levels concentrating on the application of now-extensively-investigated singular system theory. Much effort has recently been dedicated to the modelling and analysis of developing bioeconomic systems and the text establishes singular examples of these, showing how proper control can help to maintain sustainable economic development of biological resources. The book begins from the essentials of singular systems theory and bifurcations before tackling the use of various forms of control in singular biological systems using examples including predator-prey relationships and viral vaccination and quarantine control. Researchers and graduate students studying the control of complex biological systems are shown how a variety of methods can be brought to bear and practitioners working with the economics of biological systems and their control will also find the monograph illuminating.

Author : Mieczyslaw Altman
Publisher : World Scientific
Page : 297 pages
File Size : 45,6 Mb
Release : 1990-07-23
Category : Mathematics
ISBN : 9789814506724

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A Theory Of Optimization And Optimal Control For Nonlinear Evolution And Singular Equations by Mieczyslaw Altman Pdf

This research monograph offers a general theory which encompasses almost all known general theories in such a way that many practical applications can be obtained. It will be useful for mathematicians interested in the development of the abstract Control Theory with applications to Nonlinear PDE, as well as physicists, engineers, and economists looking for theoretical guidance in solving their optimal control problems; and graduate-level seminar courses in nonlinear applied functional analysis.