Stability properties of reset systems

Stability properties for a class of reset systems, such as systems containing a Clegg integrator, are investigated. We present Lyapunov based results for verifying L 2 and exponential stability of reset systems. Our results generalize the available results in the literature and can be easily modified to cover L p stability for arbitrary p ∈ [ 1 , ∞ ] . Several examples illustrate that introducing resets in a linear system may reduce the L 2 gain if the reset controller parameters are carefully tuned.