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A control theorist looks at abstract nonsense

  • B. D. O. Anderson
Introduction
Part of the Lecture Notes in Computer Science book series (LNCS, volume 25)

Keywords

Category Theory Linear Partial Differential Equation Linear System Theory Infinite Dimensional System Control Fraternity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References, with comments

  1. 1.
    C. A. Desoer and E. S. Kuh, Basic Circuit Theory, McGraw-Hill, 1970. (This text is valuable for various linear systems viewpoints, all within the framework of networks. The sorts of network descriptions used include ordinary differential equations like (1), state-variable systems like (2), impulse response description (related to (4)) and Laplace transform and Fourier transform descriptions. The latter two, though differing but trivially from the mathematical viewpoint in many cases, provide to an engineer vastly differing heuristically derived information.)Google Scholar
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    R. W. Brockett, Finite-Dimensional Linear Systems, John Wiley, 1970.Google Scholar
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    L. A. Zadeh and C. A. Desoer, Linear System Theory-A State Space Approach, McGraw-Hill, 1963. (This book was the first to present system theory in a form that engineers could understand. It is a source of many valuable ideas.)Google Scholar
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    M. A. Arbib and E. G. Manes, Foundations of system theory: decomposable machines, Automatica, to appear. (This is an interesting paper, providing a better unification of some results of linear systems and group machines then hitherto available. Whether the approach will catch on with the control fraternity or not may well depend on what the contents of sequel papers are).Google Scholar
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    B. D. O. Anderson, M. A. Arbib and E. G. Manes, Finitary and infinitary properties in categorical realization theory, to appear.Google Scholar
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    M. R. Wohlers, Lumped and Distributed Passive Networks, Academic Press, 1969. (See also issues of the IEEE Transactions on Circuit Theory for material on lumped-distributed systems).Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • B. D. O. Anderson
    • 1
  1. 1.Electrical EngineeringUniversity of NewcastleNSWAustralia

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