Stability analysis of impulsive linear time-invariant infinite-dimensional systems - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

Stability analysis of impulsive linear time-invariant infinite-dimensional systems

Résumé

We consider here the uniform exponential stability analysis of linear time-invariant infinite dimensional impulsive systems defined on a Hilbert space X. Such systems have been the subject of previous works such as [1]. We combine ideas from hybrid systems theory [2,3] and infinite-dimensional systems [4–6] to produce operator-based stability conditions, which can be analytically or numerically checked using off- the-shelf tools. We extend the general results to address the stability of such systems subject to periodic impulse sequences and sequences satisfying a minimum dwell-time condition.
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Dates et versions

hal-04707524 , version 1 (24-09-2024)

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  • HAL Id : hal-04707524 , version 1

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Corentin Briat, Francesco Ferrante, Christophe Prieur. Stability analysis of impulsive linear time-invariant infinite-dimensional systems. MTNS 2024 - 26th International Symposium on Mathematical Theory of Networks and Systems (MTNS'24), Aug 2024, Cambridge (GB), United Kingdom. Paper TuPM_LR5.4. ⟨hal-04707524⟩
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