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Prolongations and Lyapunov functions in control systems

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Abstract

In contrast to the case of a single dynamical system, the asymptotic stability of orbits of control systems cannot be characterized in terms of suitably defined Lyapunov functions. It is shown that the existence of Lyapunov functions corresponds to a stronger type of asymptotic stability, which is defined by introducing higher prolongations.

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References

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Authors and Affiliations

  1. Department of Physics, Division of Electronics, University of Athens, 104 Solonos Street, 144, Athens, Greece

    Nicholas Kalouptsidis

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  1. Nicholas Kalouptsidis
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Kalouptsidis, N. Prolongations and Lyapunov functions in control systems. Math. Systems Theory 16, 233–249 (1983). https://doi.org/10.1007/BF01744578

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  • DOI: https://doi.org/10.1007/BF01744578

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