192 citations · 345 across the 38 of their papers we have counts for
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math.DS2014★ 6 cited
Construction of Lyapunov functions for interconnected parabolic systems: an iISS approach
Andrii Mironchenko, Hiroshi Ito
This paper is devoted to two issues. One is to provide Lyapunov-based tools to establish integral input-to-state stability (iISS) and input-to-state stability (ISS) for some classe…
math.DS2014★ 60 cited
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
Andrii Mironchenko, Hiroshi Ito
For bilinear infinite-dimensional dynamical systems, we show the equivalence between uniform global asymptotic stability and integral input-to-state stability. We provide two proof…