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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.
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ISBN-13
978-1-4831-5112-0 (9781483151120)
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ContentsInvited Papers Asymptotic Methods in the Optimal Control of Distributed Systems Some Recent Applications of Distributed Parameter Control Theory - A SurveyTheory 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 ControlStability 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 FunctionalsNumerical 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 ExpansionsObservation 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 ProcessDelay 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 DelaysStatistical Methods On Goodness-Of-Fit Structure of Some Deterministic and Stochastic Models For Expanding EconomiesControl 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 SystemsStochastic Systems A Stochastic Differential Game As Control Problem with Infinite Dimensional State Space Filtering and Control of Distributed Parameter Systems with Point Observations and InputsIdentification 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 SystemsApplications 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