A categorical framework lets Lyapunov's stability criterion be stated and proved for F-coalgebras, with a converse theorem under extra axioms.
The general problem of the stability of motion.Interna- tional journal of control, 55(3):531–534, 1992
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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.