The Lyapunov function method is the focus of this paper in proving marginal stability, asymptotical or globally asymptotical stability of discrete dynamic systems. We show that th...
Abstract-- The aim of this paper is to address left invertibility for dynamical systems with inputs and outputs in discrete sets. We study systems that evolve in discrete time with...
We consider a class of hybrid dynamical systems and obtain conditions under which the behavior of these systems can be reduced to a finite state automaton. Specifically, we consi...
S. Di Gennaro, C. Horn, Sanjeev R. Kulkarni, Peter...
Abstract--This paper considers the approximation of sufficiently smooth multivariable functions with a multilayer perceptron (MLP). For a given approximation order explicit formula...
We study the optimal input-output stabilization of discrete time-invariant linear systems in Hilbert spaces by output injection. We show that a necessary and sufficient condition ...