Contributions in the field of control theory by authors from Austria, Switzerland, and Western Germany from 1970 until the present are reviewed. Six topics are discussed: Stability, distributed parameter systems, Syst...
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The scope of application of Laplace transforms presently limited to the study of linear partial differential equations, is extended to the nonlinear domain by this study. This has been achieved by modifying the defini...
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The scope of application of Laplace transforms presently limited to the study of linear partial differential equations, is extended to the nonlinear domain by this study. This has been achieved by modifying the definition of D transforms, put forth recently for the study of classes of nonlinear lumped parametersystems. The appropriate properties of the new D transforms are presented to bring out their applicability in the analysis of nonlinear distributed parameter systems.
System parameter values can vary from their assumed nominal values. These perturbations may alter the performance of a distributedparameter system from the desired nominal performance to an unacceptable degree. To ov...
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System parameter values can vary from their assumed nominal values. These perturbations may alter the performance of a distributedparameter system from the desired nominal performance to an unacceptable degree. To overcome these undesirable effects it may be possible to utilize feedback control in the system to insure that parameter variations alter the system performance with feedback to a lesser degree than an equivalent open-loop system subject to the same perturbations. New results are developed in the form of sufficient conditions to insure that feedback compensation decreases the effects of parameter variations upon the system dynamics for distributed parameter systems described by linear constant-coefficient partial differential equations which may be nonseparable. The theory is applied to two examples, the most significant of which is that of heat exchange between a moving and a stationary medium such as heating material in a through-passage furnace.
The problem of estimation for a class of distributed parameter systems is approached via maximum principle. As a consequence, the advantages of the "optimal control" point of view for tackling the estimation...
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The problem of estimation for a class of distributed parameter systems is approached via maximum principle. As a consequence, the advantages of the "optimal control" point of view for tackling the estimation problem for distributed parameter systems are indicated.
The conjugate gradient method is applied to a class of distributed parameter systems. Three numerical examples are presented to illustrate the numerical properties of this method when applied to distributedparameter ...
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The conjugate gradient method is applied to a class of distributed parameter systems. Three numerical examples are presented to illustrate the numerical properties of this method when applied to distributedparameter problems.
A system of parabolic partial differential equations is transformed into ordinary differential equations in a Hilbert space, where the system operator is the infinitesimal generator of a semigroup of operators. A samp...
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The paper develops optimal estimation equations for operator-valued discrete-time wide-sense Markov processes. The signals are viewed as linear transformations of wide-sense martingale processes, a general representat...
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The paper develops optimal estimation equations for operator-valued discrete-time wide-sense Markov processes. The signals are viewed as linear transformations of wide-sense martingale processes, a general representation which yields relatively simple estimates and error covariances. The infinite-dimensional results are applied to prediction, filtering and smoothing in distributed parameter systems.
By making use of Huyghen's principle we are able to show that processes modelled by the wave equation in an odd number of space variables are controllable in finite time by means of control forces applied at the b...
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By making use of Huyghen's principle we are able to show that processes modelled by the wave equation in an odd number of space variables are controllable in finite time by means of control forces applied at the boundary of the spatial region in question. The introduction of certain concepts from harmonic analysis together with use of the Fourier transform enables us to apply this result to prove the finite time controllability of processes modelled by the heat equation in the same spatial region by means of similar boundary controls.
The design of low-sensitivity optimal linear control systems with transportation lag, which are relatively insensitive to parameter variations, is presented. The optimal control is with respect to a quadratic performa...
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The design of low-sensitivity optimal linear control systems with transportation lag, which are relatively insensitive to parameter variations, is presented. The optimal control is with respect to a quadratic performance criterion which includes the state variable, control variable, state sensitivity function and control sensitivity functions as its arguments. A detailed example shows that the low-sensitivity design is superior to the conventional optimal design with respect to sensitivity.
This paper is concerned, with linear distributed parameter systems whose input-output operators are representable in integral form. Two types of control are considered: (i) distributed control which is a function of b...
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