Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach - Inria - Institut national de recherche en sciences et technologies du numérique
Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2016

Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach

Résumé

We prove stability of time-varying systems with delays, using linear Lyapunov functionals and positive systems, and we provide robustness of the stability with respect to multiplicative uncertainty in the vector fields. We allow cases where the delay may be unknown, and where the vector fields defining the systems are not necessarily bounded. We illustrate our work using a chain of integrators and other examples.

Domaines

Automatique
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Dates et versions

hal-01257336 , version 1 (16-01-2016)

Identifiants

Citer

Frédéric Mazenc, Michael Malisoff. Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach. IEEE Transactions on Automatic Control, 2016, 61 (3), pp.771-776. ⟨10.1109/TAC.2015.2446111⟩. ⟨hal-01257336⟩
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