Stability Analysis for Neutral and Time-Varying Systems Using Linear Lyapunov Functionals and a Positive Systems Approach

Frédéric Mazenc 1 Michael Malisoff 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : We consider time-varying systems with delay of neutral type. We propose a new technique of stability analysis. We use linear Lyapunov functionals and the theory of the positive systems.
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Frédéric Mazenc, Michael Malisoff. Stability Analysis for Neutral and Time-Varying Systems Using Linear Lyapunov Functionals and a Positive Systems Approach. ASME 2014 Dynamic Systems and Control Conference, Oct 2014, San Antonio, United States. ⟨10.1115/DSCC2014-6218⟩. ⟨hal-01088236⟩

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