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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2016

Exponential Stability With Decay Rate Estimation for Linear Difference Equations

Résumé

This technical note addresses the stability analysis of linear systems governed by continuous-time difference equa- tions with multiple delays. We propose new sufficient conditions for L2-exponential stability and exponential stability within the Lyapunov-Krasovskii framework. These conditions are delay- independent, and provide constructive exponential decay rate estimates of the system response. It is also shown that these conditions are less conservative than previous results in the literature.
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Dates et versions

hal-01256040 , version 1 (23-04-2019)

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Sérine Damak, Michaël Di Loreto, Sabine Mondié, Xavier Brun. Exponential Stability With Decay Rate Estimation for Linear Difference Equations. IEEE Transactions on Automatic Control, 2016, 61 (1), pp.252-257. ⟨10.1109/TAC.2015.2437519⟩. ⟨hal-01256040⟩
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