Data-based stability analysis of a class of nonlinear discrete-time systems

Nowadays, with modern sensor technologies, the inputs, outputs and states of the system can be accurately measured. Based on this fact, analyzing the properties of the system, which has unknown mathematical model, directly by using the measured data, has become feasible. In this paper, some data-based methods are proposed for state stability analysis of a class of nonlinear discrete-time systems. We also discuss the problem of finding the domain of attraction of the equilibrium point, using these data-based methods.