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math.DS2025★ 6 cited
Instability of equilibrium and convergence to periodic orbits in strongly 2-cooperative systems
Rami Katz, Giulia Giordano, Michael Margaliot
We consider time-invariant nonlinear -dimensional strongly -cooperative systems, that is, systems that map the set of vectors with up to weak sign variation to its interior.…
math.DS2023
On special quadratic Lyapunov functions for linear dynamical systems with an invariant cone
Omri Dalin, Alexander Ovseevich, Michael Margaliot
We consider a continuous-time linear time-invariant dynamical system that admits an invariant cone. For the case of a self-dual and homogeneous cone we show that if the system is a…