activity
20122024
most citedConstruction of Lyapunov functions for interconnected parabolic systems: an iISS approach

6 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

math.OC2024

Input-to-state stability meets small-gain theory

Andrii Mironchenko

Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we…

math.AP2023

A case study of port-Hamiltonian systems with a moving interface

Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1

We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and p…

math.OC20234 cited

Input-to-state stability of distributed parameter systems

Andrii Mironchenko

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unif…

math.DS20146 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.OC20124 cited

Dwell-time conditions for robust stability of impulsive systems

Sergey Dashkovskiy, Andrii Mironchenko

We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for impulse time sequences, which satisfy the fixed dwell-time condition. If the ISS Lyapunov funct…