Oberseminar "Dynamische Systeme und Kontrolltheorie" - M. Sc. Gianluca Hütter

We introduce the notion of input-to-state stability (ISS) for systems on time scales, and generalize some known ISS results for time continuous and discrete systems for the case of time scales. 
In particular we will show that for linear systems the ISS is equivalent to the uniform exponential stability for zero input. Furthermore we will give a sufficient condition for ISS of nonlinear systems using a Lyapunov 
function.