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3 edition of Some aspects of the optimal control of distributed parameter systems found in the catalog.

Some aspects of the optimal control of distributed parameter systems

Jacques Louis Lions

Some aspects of the optimal control of distributed parameter systems

by Jacques Louis Lions

  • 157 Want to read
  • 22 Currently reading

Published by Society for Industrial and Applied Mathematics in Philadelphia .
Written in English

    Subjects:
  • Control theory,
  • Mathematical optimization,
  • Distributed parameter systems

  • Edition Notes

    Statement[by] J. L. Lions.
    SeriesRegional conference series in applied mathematics,, 6
    Classifications
    LC ClassificationsQA402.3 .L52
    The Physical Object
    Paginationvi, 92 p.
    Number of Pages92
    ID Numbers
    Open LibraryOL5338832M
    LC Control Number72192396

      , Some Aspect of the Optimal Control of Distributed Parameter Systems, Regional Conf. Series in Appl. Math. No. 6, S.I.A.M. Philadelphia, Google ScholarCited by: Optimal Control Theory Version By Lawrence C. Evans f depends also upon some “control” parameters belonging to a set A⊂ Rm; = x0, we obtain the evolution of our system when the parameter is constantly set to the value a. The next possibility is that we change the value of the parameter as the system evolves. For instance File Size: KB.

    SIAMJ. CONTROLANDOPTIMIZATION Vol. 29, No. 4, pp. , July (C) Society for Industrial and Applied Mathematics NECESSARY CONDITIONS FOR OPTIMAL CONTROL OF DISTRIBUTED PARAMETER. Cooperative Control of Multi-Agent Systems: An Optimal and Robust Perspective reports and encourages technology transfer in the field of cooperative control of multi-agent systems. The book deals with UGVs, UAVs, UUVs and spacecraft, and more. It presents an extended exposition of the authors’ recent work on all aspects of multi-agent technology.

    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. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the author has applied to business management problems developed from his research and classroom by:


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Some aspects of the optimal control of distributed parameter systems by Jacques Louis Lions Download PDF EPUB FB2

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. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application.

: Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Mathematics) (): J.-L. Lions: BooksCited by: Manage this Book. Add to my favorites. Download Citations. Some Aspects Of The Optimal Control Of Distributed Parameter Systems | J -L Lions | download | B–OK.

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Some Aspects of the Optimal Control of Distributed Parameter Systems > /ch6 Some Aspects of the Optimal Control of Distributed Parameter Systems Manage this Chapter. Add to my favorites. Download Citations. Track Citations.

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The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems.

The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning.

The IFIP-TC7, WG Conference on Control Theory of Distributed Parameter Systems and Applications was held at Fudan University, Shanghai, China, MayThe papers presented cover a wide variety of topics, e.g. the theory of identification, optimal control, stabilization, controllability, stochastic control as well as appplications in.

The book covers topics of distributed parameter control systems in the areas of simulation, identification, state estimation, stability, control (optimal, stochastic, and coordinated), numerical approximation methods, optimal sensor, and actuator positioning.

Five applications works include chemical reactors, heat exchangers, Book Edition: 1. 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 open, the whole subject continues to expand.

Numerous authors have used variable structure techniques to control mechanical, distributed parameter systems under the guise of time optimal or ad hoc control.

However, a complete analysis of variable structure control theory and the applicability of sliding mode control (SMC) to infinite dimensional systems is not available. 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.

In the case of a constraint of this type, the role of the control variables is played by the u and v variables, while the z and h define the state of the mechanical system. The z and h are the state variables z of () whereas the u and v are the distributed controls Size: 4MB.

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. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application.

Optimal control of distributed parameter systems [Ahmed, N. U] on *FREE* shipping on qualifying offers. Optimal control of distributed parameter systemsCited by: Even though steady progress has been made in the overall study of the mathematics of control, and wider and wider applications to new problems have been found, the leading edge of the eld, as a mathematical subject, is indisputably the area of control of distributed parameter systems (DPS).

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.

Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin, Germany, J. Lions, Some Aspects of the Optimal Control of Distributed Parameter Systems CBMS-NSF Regional Conference Series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, Author: Chengfu Wang, Pengcheng Wu, Yuying Zhou.

Book contents; Control of Distributed Parameter Systems Certain domain optimization problems related to potential theory and fluid mechanics are studied by means of a relaxation approach where a concave functional on a given convex set Is defined. The functional's minimizing points are the characterlsltlc functions of the optimal Author: R.B.

Gonzalez de Paz.Topics addressed include - optimal control in fluid mechanics - numerical methods for optimal control of partial differential equations - modeling and control of shells - level set methods - mesh adaptation for parameter estimation problems - shape optimization Advanced graduate students and researchers will find the book an excellent guide to.The non-linear distributed parameter optimal control.

problem is easily formulated; and if the existence of a rela­. tive minimum is assumed, the derivation of the necessary con­. ditions for optimality is Cited by: 2.