Contracting Nonlinear Systems
Contraction theory and applications to nonlinear control systems

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S7173 V1 Article

Contracting Nonlinear Systems
Contraction theory and applications to nonlinear control systems

Author : Mattia GIACCAGLI

Publication date: October 10, 2026 | Lire en français

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1. Contracting Nonlinear Systems

1.1 Introduction to Contraction Theory

In this section, we present the systems under study as well as the fundamental principles of contraction theory. We then introduce the main tools for analyzing contracting systems, along with the conditions for determining whether a system is contracting. Finally, we illustrate the essential properties of these systems through several academic examples. The beginning of this section is inspired by the article “ .”

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