Stability of nonlinear infinite dimensional impulsive systems and their interconnections

We consider input-to-state stability (ISS) of nonlinear infinite dimensional impulsive systems with an emphasis on interconnections of such systems. Stability conditions as a combination of Lyapunov methods and dwell-time inequalities are provided. For stability of interconnections a further condition of a small-gain type comes into play. We illustrate these results on an interconnection of two semilinear parabolic equations.