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January 1, 2006IEEE Transactions on Automatic Control284 citations

Backstepping Design for Time-Delay Nonlinear Systems

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FMFrédéric MazencPBPierre‐Alexandre Bliman

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Abstract

The backstepping approach is adapted to the problem of globally uniformly asymptotically stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The strategy of design relies on the construction of a Lyapunov-Krasovskii functional. Continuously differentiable control laws are constructed.

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Mazenc et al. (2006) studied this question.

synapsesocial.com/papers/6a210dad6bd086c0991e38d0https://doi.org/10.1109/tac.2005.861701
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