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Controllability of Linear Dynamic Systems

  • Giuseppe Basile
Part of the International Centre for Mechanical Sciences book series (CISM, volume 109)

Abstract

Consider the linear purely dynamic system described by the mathematical model
$$ \underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\dot x} = A\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{x} + B\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{u} $$
(2.1.1)
(2.1.2)
, where x ∈ Rn is the state vector, u ∈ Rm the input vector, y ∈ Rs the output vector; A, B, C constant n×n, n×m and s×m matrices.

Keywords

State Space Output Controllability State Trajectory Output Space Linear Dynamic System 
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

  1. [1]
    Basile, G. and Marro, G., “On the Observability of Linear, Time-Invariant Systems with Unknown Inputs” Journal of Optimization Theory and Applications, Vol. 3, N. 6, June 1969.Google Scholar
  2. [2]
    Kalman, R.E., “On the General Theory of Control Systems” Proocedings of the First IFAC Congress, Vol. 1, Butterworths, London, 1961.Google Scholar
  3. [3]
    Kreindler, E. and Sarackik, P.E., “On the Concepts of Controllability and Observability in Linear Systems”, IEEE Transactions on Automatic Control, Vol. AC-9, N. 2, 1964.Google Scholar
  4. [4]
    Weiss, L., “The Concepts of Differential Controllability and Differential Observability”, Journal of Mathematical Analysis and Applications, Vol. 10, N. 2, 1965.Google Scholar
  5. [5]
    Basile, G. and Marro, G. “On the Perfect Output Controllability of Linear Dynamic Systems” Ricerche di Automatica, Vol. 1, N. 2, Marzo 1971.Google Scholar
  6. [6]
    Basile, G. and Marro, G., “A State Approach to Non-interacting Controls” Ricerche di Automatica, Vol. 1, N. 1, Settembre 1970.Google Scholar
  7. [7]
    Basile, G. and Marro, G., “On the Multi-level Functional Output Controllability of Linear Systems” Int. 1 IEEE Conference, Oaxtepec Morelos, Mexico, Gennaio 1971.Google Scholar

Copyright information

© Springer-Verlag Wien 1971

Authors and Affiliations

  • Giuseppe Basile
    • 1
  1. 1.University of GenovaItaly

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