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Boundary Controllability and Observability of a One-Dimensional Nonuniform SCOLE System

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Abstract

A hybrid system, composed of an elastic beam governed by an Euler-Bernoulli beam equation with variable coefficients and a linked rigid body governed by an ordinary differential equation, is considered. Various controllability/observability properties of the system under bounday control/observation are studied. It is shown that an open-loop smooth/singular controller of either torque control or force control is sufficient to make the system exactly controllable in arbitrarily short time duration.

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Author information

Authors and Affiliations

  1. Professor, Institute of Systems Science, Academy of Mathematics and System Sciences, Academia Sinica, Beijing, PRC

    B. Z. Guo

  2. School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

    B. Z. Guo

  3. Associate Professor, Russian Center of Laser Physics, St.Petersburg State University, St.Petersburg, Russia

    S. A. Ivanov

Authors
  1. B. Z. Guo
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  2. S. A. Ivanov
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Additional information

The work was carried out with the support of the National Natural Science Foundation of China and the Russian Foundation for Fundamental Researches, Grant 02-01-00554.

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Guo, B.Z., Ivanov, S.A. Boundary Controllability and Observability of a One-Dimensional Nonuniform SCOLE System. J Optim Theory Appl 127, 89–108 (2005). https://doi.org/10.1007/s10957-005-6394-3

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  • DOI: https://doi.org/10.1007/s10957-005-6394-3

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