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arXiv · 1312.7210

Stability analysis for a class of linear systems governed by difference equations

S. Damak·M. Di Loreto·W. Lombardi·V Andrieu
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Abstract

Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a class of systems. Sufficient conditions, and in some particular cases, necessary and sufficient conditions for exponential stability are established, for multivariable systems with commensurate or rationally independent delays. A discussion on robust stability is proposed, for parametric uncertainties and time-varying delays.

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S. Damak, M. Di Loreto, W. Lombardi, V Andrieu. 2013-12-27. Stability analysis for a class of linear systems governed by difference equations. https://arxiv.org/abs/1312.7210

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