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Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems

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Infinite Dimensional Linear Control Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Infinite Dimensional Linear Control Systems by N.A Book Summary:

For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes. Many of the outstanding open problems, however, have remained open until recently, and some have never been solved. This book is a survey of all results know to the author, with emphasis on very recent results (1999 to date). The book is restricted to linear equations and two particular problems (the time optimal problem, the norm optimal problem) which results in a more focused and concrete treatment. As experience shows, results on linear equations are the basis for the treatment of their semilinear counterparts, and techniques for the time and norm optimal problems can often be generalized to more general cost functionals. The main object of this book is to be a state-of-the-art monograph on the theory of the time and norm optimal controls for y'(t) = Ay(t) + u(t) that ends at the very latest frontier of research, with open problems and indications for future research. Key features: · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike · Applications to optimal diffusion processes. · Applications to optimal heat propagation processes. · Modelling of optimal processes governed by partial differential equations. · Complete bibliography. · Includes the latest research on the subject. · Does not assume anything from the reader except basic functional analysis. · Accessible to researchers and advanced graduate students alike

Mathematical Reviews

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Mathematical Reviews by N.A Book Summary:

Download or read Mathematical Reviews book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Representation and Control of Infinite Dimensional Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Representation and Control of Infinite Dimensional Systems by Alain Bensoussan,Giuseppe Da Prato,Michel C. Delfour,Sanjoy K. Mitter Book Summary:

This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. The original editions received outstanding reviews, yet this new edition is more concise and self-contained. New material has been added to reflect the growth in the field over the past decade. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently. The material on delay systems and structural operators has not yet appeared anywhere in book form.

Infinite Dimensional Optimization and Control Theory

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Infinite Dimensional Optimization and Control Theory by Hector O. Fattorini,Professor Emeritus Hector O Fattorini,Fattorini Hector O. Book Summary:

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.

Applied Mechanics Reviews

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Applied Mechanics Reviews by N.A Book Summary:

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Scientific and Technical Aerospace Reports

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Scientific and Technical Aerospace Reports by N.A Book Summary:

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Discrete and Continuous Dynamical Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Discrete and Continuous Dynamical Systems by N.A Book Summary:

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SIAM Journal on Control and Optimization

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

SIAM Journal on Control and Optimization by Society for Industrial and Applied Mathematics Book Summary:

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Optimal Discrete-time LQR Problems for Parabolic Systems with Unbounded Input - Approximation and Convergence

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Optimal Discrete-time LQR Problems for Parabolic Systems with Unbounded Input - Approximation and Convergence by Institute for Computer Applications in Science and Engineering Book Summary:

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Numerical Approximation for the Infinite-dimensional Discrete-time Optimal Linear-quadratic Regulator Problem

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Numerical Approximation for the Infinite-dimensional Discrete-time Optimal Linear-quadratic Regulator Problem by John Sevier Gibson,I. G. Rosen Book Summary:

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Proceedings of the ... SICE Annual Conference

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Proceedings of the ... SICE Annual Conference by Keisoku Jidō Seigyo Gakkai (Japan). Gakujutsu Kōenkai Book Summary:

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Computational Methods for Optimal Linear-quadratic Compensators for Infinite Dimensional Discrete-time Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Computational Methods for Optimal Linear-quadratic Compensators for Infinite Dimensional Discrete-time Systems by J. S. Gibson Book Summary:

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Optimality Conditions for Parabolic Control Problems and Applications

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Optimality Conditions for Parabolic Control Problems and Applications by Fredi Tröltzsch Book Summary:

Download or read Optimality Conditions for Parabolic Control Problems and Applications book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes by Werner Krabs Book Summary:

The main concern of this book is the application of infinite moment theory to the problem of controllability of one-di- mensional vibrating systems (like strings and beams) and heating processes. Distributed as well as boundary control is considered. In the case of vibrating systems trigonometric moment pro- blems are to be investigated which is done on the basis of an abstract moment theory in Hilbert spaces. Equivalently, alsothe theory of linear operator equations on Hilbert spa- ces ( partly with unbounded operators) is applied to the problem of controllability and time-minimal controllability. In the case of heating processes exponential moment problems are to be dealt with which is done on the basis of an ab- stract moment theory in Banach spaces. Time-minimal control- lability is also treated with the aid of the theory of line- aroperator equations on Banach spaces. Some advanced knowledge in functional analyis and on partial differential equations is preassumed for a fluent reader of the book, but parts of it are also readable with basic ma- thematical knowledge (for instance, the finite-dimensional part of the introduction).

Robust and Distributed Control Techniques for Aerospace Applications/time-optimal Pumping of a Swing

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Robust and Distributed Control Techniques for Aerospace Applications/time-optimal Pumping of a Swing by Jayant Ekanath Kulkarni Book Summary:

The thesis also considers a major conjecture in the bio-mechanics community, that skilled human motion entails the optimization of some cost function, and shows that the typical pumping strategy used by children while playing on a common playground swing is time-optimal.

Hankel Norm Approximation for Infinite-Dimensional Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Hankel Norm Approximation for Infinite-Dimensional Systems by A. Sasane Book Summary:

Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of distance between two linear systems: roughly speaking, it is the induced norm of the operator that maps past inputs to future outputs. It turns out that the engineering problem of model reduction in the Hankel norm is closely related to the mathematical problem of finding solutions to the sub-optimal Nehari-Takagi problem, which is called "the sub-optimal Hankel norm approximation problem" in this book. Although the existence of a solution to the sub-optimal Hankel norm approximation problem has been known since the 1970's, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time.

Government Reports Announcements & Index

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Government Reports Announcements & Index by N.A Book Summary:

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Time Optimal Control of Linear Distributed Parameter Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Time Optimal Control of Linear Distributed Parameter Systems by John Phillip Quinn Book Summary:

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Differential and Integral Equations

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Differential and Integral Equations by N.A Book Summary:

Download or read Differential and Integral Equations book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

New Trends in Design of Control Systems 1994

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

New Trends in Design of Control Systems 1994 by J. Mikles,M. Huba Book Summary:

Computer control systems are developing rapidly, therefore an insight of the latest trends in the design of control systems will increase the success of future developments. This publication brings together the latest key papers on research and development trends in this field, allowing both academics and industrial practioners to find new insights and gain from each other's experience.

Optimal and Robust Scheduling for Networked Control Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Optimal and Robust Scheduling for Networked Control Systems by Stefano Longo,Tingli Su,Guido Herrmann,Phil Barber Book Summary:

Optimal and Robust Scheduling for Networked Control Systems tackles the problem of integrating system components—controllers, sensors, and actuators—in a networked control system. It is common practice in industry to solve such problems heuristically, because the few theoretical results available are not comprehensive and cannot be readily applied by practitioners. This book offers a solution to the deterministic scheduling problem that is based on rigorous control theoretical tools but also addresses practical implementation issues. Helping to bridge the gap between control theory and computer science, it suggests that the consideration of communication constraints at the design stage will significantly improve the performance of the control system. Technical Results, Design Techniques, and Practical Applications The book brings together well-known measures for robust performance as well as fast stochastic algorithms to assist designers in selecting the best network configuration and guaranteeing the speed of offline optimization. The authors propose a unifying framework for modelling NCSs with time-triggered communication and present technical results. They also introduce design techniques, including for the codesign of a controller and communication sequence and for the robust design of a communication sequence for a given controller. Case studies explore the use of the FlexRay TDMA and time-triggered control area network (CAN) protocols in an automotive control system. Practical Solutions to Your Time-Triggered Communication Problems This unique book develops ready-to-use engineering tools for large-scale control system integration with a focus on robustness and performance. It emphasizes techniques that are directly applicable to time-triggered communication problems in the automotive industry and in avionics, robotics, and automated manufacturing.

TENCON '92

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

TENCON '92 by Institute of Electrical and Electronics Engineers. Region 10. International Conference Book Summary:

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Russian Mathematical Surveys

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Russian Mathematical Surveys by N.A Book Summary:

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Issues in the Implementation of Automotive Control Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Issues in the Implementation of Automotive Control Systems by Kenneth R. Butts Book Summary:

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International Aerospace Abstracts

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

International Aerospace Abstracts by N.A Book Summary:

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Mathematical reports

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Mathematical reports by N.A Book Summary:

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Advances in Control Systems

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Advances in Control Systems by Cornelius T Leondes Book Summary:

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Proceedings of the Steklov Institute of Mathematics

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Proceedings of the Steklov Institute of Mathematics by N.A Book Summary:

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Acta Mathematica Vietnamica

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Acta Mathematica Vietnamica by N.A Book Summary:

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The Japan Science Review

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

The Japan Science Review by N.A Book Summary:

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Government Reports Announcements

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Government Reports Announcements by N.A Book Summary:

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Government reports annual index

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Government reports annual index by N.A Book Summary:

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Journal of Mathematical Systems, Estimation, and Control

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Journal of Mathematical Systems, Estimation, and Control by N.A Book Summary:

Download or read Journal of Mathematical Systems, Estimation, and Control book by clicking button below to visit the book download website. There are multiple format available for you to choose (Pdf, ePub, Doc).

Journal of Mechanical Design

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Journal of Mechanical Design by N.A Book Summary:

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Dissertation Abstracts International

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Dissertation Abstracts International by N.A Book Summary:

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Computers, Control & Information Theory

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Computers, Control & Information Theory by N.A Book Summary:

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Control of Distributed Parameter Systems, 1982

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Control of Distributed Parameter Systems, 1982 by Jean-Pierre Babary,Laurent Le Letty Book Summary:

Covers: optimal control, identification & estimation, stabilization, flexible structures, stabilizability & controllability, methods & techniques of control, control of thermal processes, optimal design, stochastic processes, energy systems, & modelling.

Proceedings of the 1993 American Control Conference

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Proceedings of the 1993 American Control Conference by N.A Book Summary:

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Infinite-dimensional Lie Groups. General Theory and Main Examples

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Infinite-dimensional Lie Groups. General Theory and Main Examples by International Symposium on Systems Optimization and Analysis Book Summary:

Provides a comprehensive introduction to this important subject, examining the basic structure theory of infinite-dimensional Lie groups Essentially self-contained, provides all necessary background, excepting modest prerequisites Clear exposition includes careful explanations, illustrative examples, numerous exercises, and detailed cross-references to simplify a non-linear reading of the material

Proceedings of the Joint Automatic Control Conference

Infinite Dimensional Linear Control Systems The Time Optimal And Norm Optimal Problems [Pdf/ePub] eBook

Proceedings of the Joint Automatic Control Conference by N.A Book Summary:

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