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Stability Analysis for Time-Varying Systems with Delay using Linear Lyapunov Functionals and a Positive Systems Approach
Abstract : 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.
Cited literature [22 references]
https://hal.inria.fr/hal-01257336
Contributor : Frederic Mazenc <>
Submitted on : Saturday, January 16, 2016 - 9:43:43 AM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM
Document(s) archivé(s) le : Sunday, April 17, 2016 - 10:30:57 AM
Contributor : Frederic Mazenc <>
Submitted on : Saturday, January 16, 2016 - 9:43:43 AM
Last modification on : Thursday, July 9, 2020 - 4:08:02 PM
Document(s) archivé(s) le : Sunday, April 17, 2016 - 10:30:57 AM
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4June2015.pdf
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