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Monday, August 10, 2020 | History

8 edition of Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) found in the catalog.

Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics)

by J.-L. Lions

  • 292 Want to read
  • 37 Currently reading

Published by Society for Industrial Mathematics .
Written in English

    Subjects:
  • Infinite series,
  • Mathematics,
  • General,
  • Mathematics / General

  • The Physical Object
    FormatPaperback
    Number of Pages98
    ID Numbers
    Open LibraryOL8271676M
    ISBN 100898710049
    ISBN 109780898710045
    OCLC/WorldCa634967412

      PARAMETER ESTIMATION AND CONTROL FOR DISTRIBUTED SYSTEMS E. P. Ryan* and A. Ichikawa** *School of Mathematics, University of Bath, Bath BA2 7A Y, England **Faculty of Engineering, Shizuoka University, Hamamatsu , fapan Abstract The parameter estimation and control problem for linear distributed systems is considered. f depends also upon some “control” parameters belonging to a set A⊂ Rm; so that f: Rn×A→ if we select some value a∈ Aand consider the corresponding dynamics: ˆ x˙(t) = f(x(t),a) (t>0) x(0) = x0, we obtain the evolution of our system when the parameter is constantly set to the value a.

    Distributed Parameter Systems: Modelling and Identification Proceedings of the IFIP Working Conference, Rome, Italy, June 21–24, Some aspects of modelling problems in distributed parameter systems. Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems. Additional Distributed Parameter Control Topics; Optimal Control Background The LQG Approach to Distributed Parameter Control System Design those of other types of mathematical control systems. Additionally, we provide some various aspects of the subject with varying degree of completeness and mathematical.

    Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in both science and engineering. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the. springer, Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern.


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Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) by J.-L. Lions Download PDF EPUB FB2

Some Aspects of the Optimal Control of Distributed Parameter Systems. The applications of the theory of optimal control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly.

where one can prove an existence and uniqueness theorem. Some Aspects Of The Optimal Control Of Distributed Parameter Systems | J -L Lions | download | B–OK. Download books for free. Find books. Get this from a library.

Some aspects of the optimal control of distributed parameter systems. [J -L Lions] -- The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain.

Some Aspects of the Optimal Control of Distributed Parameter Systems > /ch2 Some Aspects of the Optimal Control of Distributed Parameter Systems. Manage this Book. Add to my favorites. Download Citations.

Book Author Submissions; Subscriptions. Journal Subscription; Journal Pricing; Some Aspects of the Optimal Control of Distributed Parameter Systems > /ch4 Sensitivity Analysis for Regularized Estimation in Some System Identification Problems. Control of distributed parameter systems (DPS) remains a challenging task, as the system dynamics are infinite-dimensional.

Model reduction of such systems may produce instabilities and thus it is essential that the model reduction methodology used is robust. Optimal control theory of distributed parameter systems is a fundamental tool in applied mathematics.

Since the pioneer book by J.-L. Lions [24] published in many papers have been devoted to both its theoretical aspects and its practical applications. The present article belongs to the latter set: we review some work related.

The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems.

Purchase Distributed Parameter Control Systems - 1st Edition. Print Book & E-Book. ISBNSome aspects of the optimal control of distributed parameter systems Regional Conference Series in Applied Mathematics, SIAM, vol.

6, Google Scholar. control of nonlinear distributed parameter systems and cross-fertilizing other intimately allied disciplines. These synergistic e ects amply testify to the timeliness of the publication of this volume. The chapters in this volume cover interests in various aspects of NDPS.

For example, the paper by Seidman and Antman is related to Category (A. : Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Cited by: Algorithmic Aspects in Parameter Estimation. Optimal Control. Tracking and regulation of periodic systems, A Ichikawa.

Flexible Systems. Control of flexible structures subject to random disturbance, A Ohsumi & Y Sawada. Computational Methods for Estimation in DPS. Identification of degenerate distributed parameter systems, P K Lamm et al.

Control of Distributed Parameter Systems covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation.

In control theory, a distributed parameter system (as opposed to a lumped parameter system) is a system whose state space is systems are therefore also known as infinite-dimensional systems. Typical examples are systems described by partial differential equations or by delay differential equations.

As a matter of fact the control theory of distributed parameter systems covers a very large and diverse area of problems and methods and the study of some specific problems arising in applications represents much of the substance of the theory.

Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Distributed Parameter Control Systems: Theory and Application is a two-part book consisting of 10 theoretical and five application-oriented chapters contributed by well-known workers in the distributed-parameter systems.

The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation. This is a survey of some of the works on optimal control theory for infinite dimensional systems carried out by the research group of Fudan University in recent years.

Key words Maximum principle dynamic programming optimal control distributed parameter systems stochastic systems. Consisting of 16 refereed original contributions, this volume presents a diversified collection of recent results in control of distributed parameter systems. Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations.The book is devoted to the study of distributed control problems governed by various nonsmooth state systems.

The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control.Some aspects of the optimal control of distributed parameter systems.

[J -L Lions; Society for Industrial and Applied Mathematics.] -- The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand.