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On the properties of the realizations of linear dynamical systems

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Summary

This paper is concerned with the problem of finding realizations for dynamical systems, with the properties of minimality, stability and boundedness.

In particular the paper considers the problems of the existence and uniqueness, within suitable equivalence relations, of these realizations, as well as the problems of the invariance of listed properties.

Using a general procedure, the problems of invariance and uniqueness are solved in the case of subsets of minimal and stable (uniformly stable, restrictively stable, asymptotically and exponentially stable) realizations. The same problems are solved in the case of restrictively stable, bounded and minimal realizations.

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Authors and Affiliations

  1. Istituto di Automatica, dell'Universitatà di Roma, Rome, Italy

    P. D'Alessandro, A. Isidori & A. Ruberti

Authors
  1. P. D'Alessandro
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  2. A. Isidori
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  3. A. Ruberti
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D'Alessandro, P., Isidori, A. & Ruberti, A. On the properties of the realizations of linear dynamical systems. Math. Systems Theory 7, 176–184 (1973). https://doi.org/10.1007/BF01762236

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  • DOI: https://doi.org/10.1007/BF01762236

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