On the Lyapunov stability of discrete-time processes modeled by difference inclusions
The Lyapunov stability problem for finite-dimensional, autonomous, nonlinear difference inclusions with upper-semicontinuous right-hand- sides is studied. By introducing the usual Lyapunov function for discrete processes two theorems about stability and asymptotic stability of an equilibrium set for the inclusions under consideration and one theorem about instability are proved.
finite-dimensional, autonomous, nonlinear difference inclusions
scientific article; zbMATH DE number 4049509