A categorical framework lets Lyapunov's stability criterion be stated and proved for F-coalgebras, with a converse theorem under extra axioms.
PhD thesis, University of Califor- nia, Berkeley, 2012
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Categorical Lyapunov Theory II: Stability of Systems
A categorical framework lets Lyapunov's stability criterion be stated and proved for F-coalgebras, with a converse theorem under extra axioms.