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On the closure of reachable sets for control systems

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Abstract

We prove the existence of a dense subsetD of continuous functions such that, forf∈D, the reachable set for the control system

$$x_1^{(n)} + a_{n - 1} x_1^{(n - 1)} + \cdot \cdot \cdot + a_1 x'_1 \in \{ \phi _1 ,\phi _2 \} ,x'_2 = f(x_1 ),$$

is closed.

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References

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Authors and Affiliations

  1. Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    S. Perrotta (PhD Student)

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  1. S. Perrotta
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Additional information

Communicated by R. Conti

The author thanks Professor Arrigo Cellina for suggesting the subject of this research.

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Perrotta, S. On the closure of reachable sets for control systems. J Optim Theory Appl 82, 555–569 (1994). https://doi.org/10.1007/BF02192218

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  • DOI: https://doi.org/10.1007/BF02192218

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