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  • 1
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    Computational methods for the control of distributed parameter systems (1985)
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    Publication Date: 2019-06-28
    Description: It is shown that care must be taken to ensure that finite dimensional approximations of distributed parameter systems preserve important system properties (i.e., controllability, observability, stabilizability, detectability, etc.). It is noted that, if the particular scheme used to construct the finite dimensional model does not take into account these system properties, the model may not be suitable for control design and analysis. These ideas are illustrated by a simple example, i.e., a cable-spring-mass system.
    Keywords: CYBERNETICS
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  • 2
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    A piecewise linear approximation scheme for hereditary optimal control problems (1977)
    In:  Other Sources
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    Publication Date: 2019-07-13
    Description: An approximation scheme based on 'piecewise linear' approximations of L2 spaces is employed to formulate a numerical method for solving quadratic optimal control problems governed by linear retarded functional differential equations. This piecewise linear method is an extension of the so called averaging technique. It is shown that the Riccati equation for the linear approximation is solved by simple transformation of the averaging solution. Thus, the computational requirements are essentially the same. Numerical results are given.
    Keywords: CYBERNETICS
    Type: Joint Automatic Control Conference; Jun 22, 1977 - Jun 24, 1977; San Francisco, CA
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    NASA TECHNICAL REPORTS
  • 3
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    Numerical solutions of a control problem governed by functional differential equations (1978)
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    Publication Date: 2019-07-13
    Description: A numerical procedure is proposed for solving optimal control problems governed by linear retarded functional differential equations. The procedure is based on the idea of 'averaging approximations', due to Banks and Burns (1975). For illustration, numerical results generated on an IBM 370/158 computer, which demonstrate the rapid convergence of the method are presented.
    Keywords: CYBERNETICS
    Type: International Symposium on Simulation Software and Numerical Methods for Differential Equations; Mar 09, 1977 - Mar 11, 1977; Blacksburg, VA
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