Stability of switched linear systems on non-uniform time domains

Abstract

A recent development in Lyapunov stability theory allows for analysis of switched linear systems evolving on nonuniform, discrete time domains. The analysis makes use of an emerging mathematical framework termed dynamic equations on time scales. We will present stability conditions for a general, arbitrarily switched system and then for system with a “constrained” switching signal. The results take the form of a compute-able inequality, which imposes conditions on the time domain itself.