Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems

This paper deals with the problems of finite-time boundedness and stabilization for discrete-time nonlinear quadratic systems. Some sufficient conditions are derived, under which the finite-time boundedness of nonlinear quadratic systems is guaranteed. By using a similar method, the finite-time stability for discrete-time nonlinear quadratic systems is also established as a corollary. Moreover, to solve the finite-time stabilization problem, a stabilizing state feedback controller is designed. A simulation example is provided to illustrate the efficiency of the proposed technique.