STABILIZATION ANALYSIS OF DISCRETE NONLINEAR-SYSTEMS

In this paper, we set a new framework for the analysis of nonlinear di screte systems, to carry out the stabilization theorem, and to design stable controllers of the systems within that framework. This framewor k includes many practically important systems-described, for example, by Lipschitz functions, functions with arbitrary order bounded derivat ives, bilinear functions and all polynomial functions. An important ex istence theorem for stabilizing has been proven for this framework. Th e theorem basically states that under definite, rather broad condition s, the zero solution of the plants can be made stable by a nonlinear o utput feedback. In addition, this nonlinear feedback is from a larger class of functions than these classes given by current literature. Fol lowing these stabilization theorems, a new design procedure for the ou tput feedback control law is presented. All results presented are easy to use and convenient to apply. The application is illustrated by sev eral examples, including the design of stabilizing control for a bilin ear control system.