Invariance Principles and Observability in Switched Systems With an Application in Consensus

Using any nonnegative function with a nonpositive derivative along trajectories to define a virtual output, the classic LaSalle invariance principle can be extended to switched nonlinear time-varying (NLTV) systems, by considering the weak observability associated with this output. The concept of weak observability reflects the information of the limiting behavior of state trajectories hidden in t...