Local Feedback Dissipativity and Dissipativity-based Stabilization of Nonlinear Discrete-time Systems

This paper is endeavoured to the problem of local feedback dissipativity and the use of feedback dissipativity for stabilization purposes in the nonlinear discretetime setting. Sufficient conditions under which a class of non-affine discrete-time control systems can be rendered locally dissipative are derived. A methodology in order to render nonlinear single-input single-output discrete-time systems locally dissipative is given, it is based on the feedback losslessness situation. The feedback dissipativity methodology proposed will be applied to an academic nonlinear example. Stability properties of a class of feedback dissipative systems are used for stabilization purposes in the example.