The methods of system identification due to Shinbrot, Perdreauville and Goodson, Fairman and Shen, and Diamessis belong to a class of techniques based on the idea that a linear operation on system equations leads to a...
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The methods of system identification due to Shinbrot, Perdreauville and Goodson, Fairman and Shen, and Diamessis belong to a class of techniques based on the idea that a linear operation on system equations leads to a set of simultaneous equations solvable for the unknown parameters. These methods have so far been able to treat problems of linear time invariant, time-varying, nonlinear, and distributed parameter systems without lags. This short paper extends the capability of the class of methods to cover time-lag systems. The extension is illustrated with reference to one of the methods that employs Poisson moment functionals. Illustrative examples include linear time invariant, time-varying, and non-linear systems each with a lag.
Necessary conditions are derived for the optimum control of a class of smooth second-order distributedsystems subject to general boundary conditions of the Neumann type.
Necessary conditions are derived for the optimum control of a class of smooth second-order distributedsystems subject to general boundary conditions of the Neumann type.
In this note it is shown that if a distributedparameter system of parabolic type is controllable by distributed controls then it is also controllable by a scanning control, i.e., a single point control that can be am...
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In this paper an equivalent one-dimensional system for taper leaf springs (similar to those used in vehicle suspension systems) is developed so that results obtained from it are in good agreement with those obtained f...
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A method is presented for identifying linear distributed parameter systems. Emphasis is placed on identification as a function of spatial coordinates by considering time-transformed, noise-free systems. Measurements o...
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A method is presented for identifying linear distributed parameter systems. Emphasis is placed on identification as a function of spatial coordinates by considering time-transformed, noise-free systems. Measurements of system response are combined with the Green’s function method of analysis to obtain integral equations that can be solved for unknown spatial operators or coefficients. A discrete form of the theory is developed, utilizing Chebyshev polynomials. This allows prior estimates to be used to determine the number and location of spatial measurements. Where estimates are of sufficient order, the modeling process is exact.
The problem of matching a linear time-delay system to a given time-delay model is considered and solved in state-space form. The system under control is assumed in its phase-variable form. A two-dimensional example is...
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The problem of matching a linear time-delay system to a given time-delay model is considered and solved in state-space form. The system under control is assumed in its phase-variable form. A two-dimensional example is worked out to illustrate the solution method.
Survey of currently available theory for systems the evolution of which can be described by semigroups of operators of class CO. Connection between the concepts of stabilizability and detectability and the problem of ...
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Survey of currently available theory for systems the evolution of which can be described by semigroups of operators of class CO. Connection between the concepts of stabilizability and detectability and the problem of existence and uniqueness of solutions to the operator Riccati equation. Examples and Open problems.
A variational calculus approach is used to study quadratic optimization of linear time-delayed distributed parameter systems with distributed and boundary control function. The canonical equations are derived for the ...
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A variational calculus approach is used to study quadratic optimization of linear time-delayed distributed parameter systems with distributed and boundary control function. The canonical equations are derived for the necessary condition of optimality. Then the Riccati equations are obtained and their computational solution is discussed.
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