arXiv Open Access 2025

Open-loop control design for contraction in affine nonlinear systems

Mohamed Yassine Arkhis Denis Efimov

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Abstrak

In this paper, first, it is shown that if a nonlinear time-varying system is contractive, then it is incrementally exponentially stable. Second, leveraging this result, under mild restrictions, an approach is proposed to design feedforward inputs for affine in control systems providing contraction/incremental exponential stability. Unlike standard stability notions, which have well-established control design techniques, this note can be considered among the first ones to provide such a tool for a kind of incremental stability. The theoretical findings are illustrated by examples.

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Penulis (2)

Mohamed Yassine Arkhis

Denis Efimov

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APA MLA BibTeX

Arkhis, M.Y., Efimov, D. (2025). Open-loop control design for contraction in affine nonlinear systems. https://arxiv.org/abs/2503.22210

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓