344 citations · 866 across the 34 of their papers we have counts for
4 papers · 2 filters
Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces
Andrii Mironchenko, Fabian Wirth
We prove that input-to-state stability (ISS) of nonlinear systems over Banach spaces is equivalent to existence of a coercive Lipschitz continuous ISS Lyapunov function for this sy…
Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius
Nicola Guglielmi, Oliver Mason, Fabian Wirth
We present several results describing the interplay between the max algebraic joint spectral radius (JSR) for compact sets of matrices and suitably defined matrix norms. In particu…
On Classical Control and Smart Cities
Andre R. Fioravanti, Jakub Marecek, Robert N. Shorten +2
We discuss the applicability of classical control theory to problems in smart grids and smart cities. We use tools from iterated function systems to identify controllers with desir…
Characterizations of input-to-state stability for infinite-dimensional systems
Andrii Mironchenko, Fabian Wirth
We prove characterizations of input-to-state stability (ISS) for a large class of infinite-dimensional control systems, including some classes of evolution equations over Banach sp…