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This paper presents a new method for dynamic output feedback stabilizingcontroller design for decomposable systems with switching topology and delay.Our approach consists of two steps. In the first step, we model thedecomposable systems with switching topology as equivalent LPV systems with apiecewise constant parameter. In the second step, we design stabilizing outputfeedbacks for these LPV systems in the presence of a time-varying output delayusing a trajectory-based stability analysis approach. We do not impose anyconstraint on the delay derivative. Finally, we illustrate our approach byapplying it to the consensus problem of non-holonomic agents.

On Output Feedback Stabilization of Time-Varying Decomposable Systems with Switching Topology and Delay