2022/07/15 by Atreyee Kundu, Kundu, Atreyee
Engineering · #Stability and Controllability of Differential Equations #Stability and Control of Uncertain Systems #Adaptive Control of Nonlinear Systems
paper · pdf · doi:10.48550/arxiv.2207.07764
This paper deals with input/output-to-state stability (IOSS) of continuous-time switched nonlinear systems. Given a family of systems, possibly containing unstable dynamics, and a set of restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, we identify a class of switching signals that obeys these restrictions and preserves stability of the resulting switched system. The primary apparatus for our analysis is multiple Lyapunov-like functions. Input-to-state stability (ISS) and global asymptotic stability (GAS) of switched systems under pre-specified restrictions on switching signals fall as special cases of our results when no outputs (resp., also inputs) are considered.