Robustly stabilizing switching signals for switched systems under restricted switching

摘要

The topic of this paper is input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems under switching signals that obey restrictions on switching destinations and switching times. Given a family of systems, a set of admissible switches, and admissible minimum and maximum dwell times on subsystems, we present an algorithm to construct switching signals that preserve stability of the resulting switched system for any choice of dwell times belonging to the admissible range. Our results involve multiple Lyapunov-like functions and graph-theoretic tools.