Control of Distributed Parameter Systems

Control of Distributed Parameter Systems

Proceedings of the Second IFAC Symposium, Coventry, Great Britain, 28 June - 1 July 1977

1st Edition - January 1, 1978

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  • Editors: S. P. Banks, A. J. Pritchard
  • eBook ISBN: 9781483151120

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Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. 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 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. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.

Table of Contents

  • Contents

    Invited Papers

    Asymptotic Methods in the Optimal Control of Distributed Systems

    Some Recent Applications of Distributed Parameter Control Theory - A Survey


    Dual Variational Inequalities For Extremal Eigenvalue Problems

    Stochastic Differential Equations in Hubert Space and Their Application to Delay Systems

    The Linear Quadratic Optimal Control Problem Over An Infinite Time Horizon For Class of Distributed Parameter Systems

    Initial-Value Control of the Korteweg-De Vries Equation

    On Quasiequilibrium States and Range Degeneracy For Linear Semigroup Systems

    Time-Invariance of the Reachable Set For Linear Control,Problems

    Semigroups On Product Spaces with Application To Initial Value Problems with Non-Local Boundary Conditions

    A Semigroup Approach To Boundary Value Control


    Stability of Nonlinear Distributed Parameter Systems

    Stability of Abstract Evolution Equations

    Bifurcations To Divergence and Flutter in Flow-Induced Oscillations: An Infinite Dimensional Analysis

    On The Path Integral and Lyapunov Functional For A Class of Distributed Systems

    The Functional Analysis Interpretation of Lyapunov Stability

    Stability Conditions and Design of Control Using Liapunov-Zubov Functionals

    Numerical Techniques

    On The Method of Multipliers For A Class of Distributed Parameter Systems

    A Digital Transfer Matrix Approach To Distributed System Simulation

    Errors in the Finite Difference Solution of Hyperbolic Partial Differential Equations

    Design of Distributed-Parameter Optimal Controllers and Filters Via Walsh- Gal Erkin Expansions

    Observation Problems

    Observers For Bilinear Distributed Parameter Processes

    Initial State Determination For Distributed Parameter Systems with Discrete-Time Measurement Data

    Parameter and State Estimation For A Diffusion Process

    Delay Systems

    Differential State Space Descriptions of Nonlinear Time Variant Hereditary Differential Systems

    F-Reduction of the Operator Riccati Equations For Hereditary Differential Systems

    Optimal Output-Feedback Controllers For Linear Time-Delay Systems

    Finite Difference Approximation of State and Control Constrained Optimal Control Problem For System with Delay

    Necessary and Sufficient Conditions For Designing Optimal Feed-Back Controllers For Linear Dynamical Systems with Multiple Time Delays

    Statistical Methods

    On Goodness-Of-Fit Structure of Some Deterministic and Stochastic Models For Expanding Economies


    Adaptive Open Loop Control For A Class of Distributed Parameter Systems

    On The Discrete-Time Quadratic Optimum Control Problem in Reflexive Banach Space

    Simplified Optimum Control of Distributed Parameter Systems

    Stochastic Systems

    A Stochastic Differential Game As Control Problem with Infinite Dimensional State Space

    Filtering and Control of Distributed Parameter Systems with Point Observations and Inputs


    The Solution of Some Identification Problems of Biomedical Systems

    Geostatistical Techniques in Distributed Parameter System Estimation Problems

    Identifiability of Internal and Boundary Parameters in Distributed Systems Of Parabolic Type

    Frequency Domain Simulation and Identification of Distributed Systems


    An Attempt To Identify The Visual and Manual Phenomena For A Human Operator Submitted to Vestibular Stimulations (Pitch Motion) During Visual Detection Tasks

    Optimal Control of Chemical Plants with Stages Subject To Random Breakdowns

    MWR Approximation and Modal Control of Parallel-And Counter-Flow Heat Exchangers

    Control of A Distributed Parameter System Using Vector Performance Index

    The Real Time Application of Distributed Parameter State Estimation Theory to A Two Dimensional Heated Ingot

    Stability of Counter Currently Cooled Fixed Bed Reactor?

    A Reduced Model For Optimal Control of A Gas Distribution Network

    Phenomenological Investigation of A Distributed Parameter Model For Coordinating the Mechanical Activity of the Mammalian Gut

    Optimum Design of Distributed Mass and Stiffness Structural Systems Under Constraints

    Applications of Extended Operators To Diffusive Systems

    List of Participants

    Author Index

Product details

  • No. of pages: 554
  • Language: English
  • Copyright: © Pergamon 1978
  • Published: January 1, 1978
  • Imprint: Pergamon
  • eBook ISBN: 9781483151120

About the Editors

S. P. Banks

A. J. Pritchard

Affiliations and Expertise

Control Theory Centre Uniuersity of’ Warwick Coventry, U.K.

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