Existence of self-oscillation for a class of nonlinear discrete-time systems

In this paper, the self-oscillation phenomenon for a class of nonlinear discrete-time systems is investigated. Based on the time-domain approach, the existence of limit cycle for such systems can be guaranteed. Besides, the exponentially stable limit cycles, the period of oscillation, and guaranteed convergence rate can be correctly estimated. Finally, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained result.