Stability of Nonlinear Switched Systems on Non-uniform Time Domains with Application to Multi-Agents Consensus

A recent development in Lyapunov stability theory allows for analysis of switched systems evolving on nonuniform time domains, called Time Scales. We will present new sufficient conditions to guarantee the stability of a special class of switched systems, between continuous-time subsystems (on intervals with variable lengths) and discrete-time subsystems (with variable discrete-step sizes). By introducing the time scales theory, the conditions are derived using the concept of Time Scale Multiple Lyapunov Functions (TSMLF). The results are applied in the problem of consensus for multi-agent systems with intermittent information transmission.