For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity

no code implementations • 1 Mar 2024 • Antoine Chaillet, Fabian Wirth, Andrii Mironchenko, Lucas Brivadis

Adapting a counterexample recently proposed by J. L.

A Lyapunov-based ISS small-gain theorem for infinite networks of nonlinear systems

no code implementations • 12 Mar 2021 • Christoph Kawan, Andrii Mironchenko, Majid Zamani

In this paper, we show that an infinite network of input-to-state stable (ISS) subsystems, admitting ISS Lyapunov functions, itself admits an ISS Lyapunov function, provided that the couplings between the subsystems are sufficiently weak.

Optimization and Control 37B25, 37L15, 93D05, 93A15

ISS small-gain criteria for infinite networks with linear gain functions

no code implementations • 11 Mar 2021 • Andrii Mironchenko, Navid Noroozi, Christoph Kawan, Majid Zamani

This paper provides a Lyapunov-based small-gain theorem for input-to-state stability (ISS) of networks composed of infinitely many finite-dimensional systems.

Optimization and Control Dynamical Systems