60 citations · 75 across the 5 of their papers we have counts for
5 papers
Input-to-state stability and Lyapunov functions with explicit domains for SIR model of infectious diseases
Hiroshi Ito
This paper demonstrates input-to-state stability (ISS) of the SIR model of infectious diseases with respect to the disease-free equilibrium and the endemic equilibrium. Lyapunov fu…
Interpreting models of infectious diseases in terms of integral input-to-state stability
Hiroshi Ito
The notions of integral input-to-state stability (iISS) and input-to-state stability (ISS) have been effective in addressing nonlinearities globally without domain restrictions in…
Interval Observer of Minimal Error Dynamics
Hiroshi Ito
This paper proposes a simple interval observer which can generate tighter interval estimates of variables in transient states than the standard interval observer. The simple nonlin…
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…
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…