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Time-delay Robustness Analysis for Systems with Negative Degree of Homogeneity

Abstract : Time-delay robustness analysis for homogeneous systems with negative degree is presented in the paper. It is established that if a system is homogeneous with negative degree and asymptotically stable at its origin in the absence of delays, then stability property is preserved with respect to a compact set containing the origin for any delay value. It is shown that obtained results can also be used for locally homogeneous systems. A simulation example is included to support theoretical results.
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https://hal.inria.fr/hal-01371370
Contributor : Denis Efimov <>
Submitted on : Sunday, September 25, 2016 - 7:10:29 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM
Long-term archiving on: : Monday, December 26, 2016 - 12:37:50 PM

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Konstantin Zimenko, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti. Time-delay Robustness Analysis for Systems with Negative Degree of Homogeneity. Proc. 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Aug 2016, Monterey, United States. ⟨hal-01371370⟩

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