摘要：AbstractIn this paper, we extend the ISS Lyapunov methodology to make it suitable for the analysis of ISS w.r.t. inputs fromLp-spaces. We show that the existence of a so-calledLp-ISS Lyapunov function impliesLp-ISS of a system. Also, we show that existence of a noncoerciveLp-ISS Lyapunov function impliesLp-ISS of a control system provided the flow map is continuous w.r.t. states and inputs and provided the finite-time reachability sets, corresponding to the input spaceLpare bounded.
