344 citations · 866 across the 34 of their papers we have counts for
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math.OC2019★ 19 cited
Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
B. Jacob, A. Mironchenko, J. R. Partington +1
We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class, the significance of noncoercive Lyapunov functions is analyzed. It is shown tha…
math.OC2019★ 38 cited
Local stabilization of an unstable parabolic equation via saturated controls
Andrii Mironchenko, Christophe Prieur, Fabian Wirth
We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov…