New Technique for Stability Analysis for Time-Varying Systems with Delay

Abstract : We propose a new stability analysis technique for a family of time-varying systems with delay. Under simple conditions, we prove exponential stability. The key ingredients in our proof are operators with integral terms, the notion of positive systems, and linear time-varying Lyapunov functionals. We illustrate our work using a chain of integrators.
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https://hal.inria.fr/hal-01088244
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Submitted on : Tuesday, December 16, 2014 - 3:13:42 PM
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Frédéric Mazenc, Michael Malisoff. New Technique for Stability Analysis for Time-Varying Systems with Delay. 53rd IEEE Annual Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. pp.6. ⟨hal-01088244⟩

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