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

2013/12/27 by Damak, S., Di Loreto, M., Lombardi, W. +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1312.7210

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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