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Conference Papers Year : 2009

About the Lyapunov exponent of sampled-data systems with non-uniform sampling

Abstract

In this paper we propose a method for evaluating the Lyapunov exponent of sampled-data systems with sampling jitter. We consider the case of systems in which the sampling interval is unknown, time-varying and bounded in a given interval. In order to take into account the inter-sampling behaviour of the system, the problem is addressed from the continuous time point of view. The approach exploits the fact that the command is a piecewise constant signal and leads to less conservative stability conditions. Using geometrical arguments, a lower bound of the Lyapunov exponent can be expressed as a generalized eigenvalue problem. Numerical examples are given to illustrate the approach.
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Dates and versions

inria-00419444 , version 1 (23-09-2009)

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  • HAL Id : inria-00419444 , version 1

Cite

Laurentiu Hetel, Alexandre Kruszewski, Jean-Pierre Richard. About the Lyapunov exponent of sampled-data systems with non-uniform sampling. TDS'09, 8th IFAC Workshop on Time Delay Systems, Sep 2009, Sinaia, Romania. ⟨inria-00419444⟩
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