192 citations · 345 across the 38 of their papers we have counts for
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math.OC2018
Input-to-State Stability of Nonlinear Parabolic PDEs with Dirichlet 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…
math.OC2018
Existence of non-coercive Lyapunov functions is equivalent to integral uniform global asymptotic stability
Andrii Mironchenko, Fabian Wirth
In this paper, a class of abstract dynamical systems is considered which encompasses a wide range of nonlinear finite- and infinite-dimensional systems. We show that the existence…