192 citations · 345 across the 38 of their papers we have counts for
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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…
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…
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…
Uniform weak attractivity and criteria for practical global asymptotic stability
Andrii Mironchenko
A subset of the state space is called uniformly globally weakly attractive if for any neighborhood of and any bounded subset there is a uniform finite time so t…
Characterizations of input-to-state stability for infinite-dimensional systems
Andrii Mironchenko, Fabian Wirth
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach sp…