192 citations · 345 across the 38 of their papers we have counts for
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math.DS2016
Non-coercive Lyapunov functions for infinite-dimensional systems
Andrii Mironchenko, Fabian R. Wirth
We show that the existence of a non-coercive Lyapunov function is sufficient for uniform global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbanc…
math.OC2016
Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems
Andrii Mironchenko, Guosong Yang, Daniel Liberzon
We prove a novel Lyapunov-based small-gain theorem for networks of hybrid systems which are not necessarily input-to-state stable. This result unifies and extends seve…