Applications of contraction theory
Contraction theory and applications to nonlinear control systems

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Applications of contraction theory
Contraction theory and applications to nonlinear control systems

Author : Mattia GIACCAGLI

Publication date: October 10, 2026 | Lire en français

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3. Applications of contraction theory

In this section, we discuss the relevance of contraction to observer design and trajectory tracking. We will conclude this section with a discussion of the application of contraction to multi-agent system synchronization, optimization, and learning.

3.1 Observer Design

Consider a nonlinear system:

x˙  =  ϕ(x,t)y  =  h(x,t)
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