Stability concept for a dynamic hybrid system
A journey with hybrid dynamical systems

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S7434 V1 Article

Stability concept for a dynamic hybrid system
A journey with hybrid dynamical systems

Authors : Isabelle QUEINNEC, Sophie TARBOURIECH, Luca ZACCARIAN

Publication date: January 10, 2023 | Lire en français

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3. Stability concept for a dynamic hybrid system

As a reminder, the stability of a linear system x·=Ax implicitly refers to the stability properties of the origin, which is always an equilibrium point. In the case of hybrid systems, this more complex notion of stability is clarified in the following sections.

3.1 Stability of an equilibrium point

Intuitively, the concept of stability in the Lyapunov sense

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