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Lyapunov Technique and Backstepping for Nonlinear Neutral Systems.

Frédéric Mazenc 1, 2 Hiroshi Ito 3
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France
3 Department of Systems Design and Informatics
Kyushu Institute of Technology
Abstract : For nonlinear systems with delay of neutral type, we propose a new technique of stability and robustness analysis. It relies on the construction of functionals which make it possible to establish estimates of the solutions different from, but very similar to, estimates of ISS or iISS type. These functionals are themselves different from, but very similar to, ISS or iISS Lyapunov-Krasovskii functionals. The approach applies to systems which do not have a globally Lipschitz vector field and are not necessarily locally exponentially stable. We apply this technique to carry out a backstepping design of stabilizing control laws for a family of neutral nonlinear systems.
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https://hal.inria.fr/hal-00761326
Contributor : Frederic Mazenc <>
Submitted on : Wednesday, December 5, 2012 - 12:11:57 PM
Last modification on : Thursday, July 9, 2020 - 4:08:01 PM

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Frédéric Mazenc, Hiroshi Ito. Lyapunov Technique and Backstepping for Nonlinear Neutral Systems.. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2013, 58 (2), pp.512-517. ⟨10.1109/tac.2012.2206709⟩. ⟨hal-00761326⟩

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