Glossary
Contraction theory and applications to nonlinear control systems

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Glossary
Contraction theory and applications to nonlinear control systems

Author : Mattia GIACCAGLI

Publication date: October 10, 2026 | Lire en français

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5. Glossary

Contractive system

A dynamical system in which all trajectories converge exponentially toward one another.

Differential system

A dynamical system obtained from a given system by linearizing it along its solutions.

Contraction region

A region of the state space where the contraction properties of the system under study hold.

Positive-definite matrix

A real symmetric matrix P such that x⊤Px  >  0 for all $x \neq 0$.

Jacobian

A matrix obtained by computing the partial derivative of a vector function with respect to all its variables

Linear Matrix Inequality (LMI)

An inequality in which the elements, as well...

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