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math.DS2023
On systematic criteria for the global stability of nonlinear systems via the Koopman operator framework
Christian Mugisho Zagabe, Alexandre Mauroy
We present novel sufficient conditions for the global stability of equilibria in the case of nonlinear dynamics with analytic vector fields. These conditions provide stability crit…
math.DS2023★ 2 cited
Uniform global stability of switched nonlinear systems in the Koopman operator framework
Christian Mugisho Zagabe, Alexandre Mauroy
In this paper, we provide a novel solution to an open problem on the global uniform stability of switched nonlinear systems. Our results are based on the Koopman operator approach…