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math.DS2025
Categorical Lyapunov Theory I: Stability of Flows
Aaron D. Ames, Joe Moeller, Paulo Tabuada
Lyapunov's theorem provides a fundamental characterization of the stability of dynamical systems. This paper presents a categorical framework for Lyapunov theory, generalizing stab…
math.DS2009★ 2 cited
Symbolic models for nonlinear time-delay systems using approximate bisimulations
Giordano Pola, Pierdomenico Pepe, Maria D. Di Benedetto +1
Time-delay systems are an important class of dynamical systems which provide a solid mathematical framework to deal with many application domains of interest ranging from biology,…