5 citations · 9 across the 14 of their papers we have counts for
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math.OC2017
Criteria for input-to-state practical stability
Andrii Mironchenko
For a broad class of infinite-dimensional systems, we characterize input-to-state practical stability (ISpS) using the uniform limit property and in terms of input-to-state stabili…
math.OC2017
Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces
Andrii Mironchenko, Fabian Wirth
We prove that input-to-state stability (ISS) of nonlinear systems over Banach spaces is equivalent to existence of a coercive Lipschitz continuous ISS Lyapunov function for this sy…
math.OC2017★ 4 cited
Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
Andrii Mironchenko, Iasson Karafyllis, Miroslav Krstic
We introduce a monotonicity-based method for studying input-to-state stability (ISS) of nonlinear parabolic equations with boundary inputs. We first show that a monotone control sy…