1. Introduction 2. Robust nonlinear control for polynomial discrete-time systems 3. Robust nonlinearH8 state feedback control for polynomial discrete-time systems 4. Robust nonlinear filtering for polynomial discrete-time systems 5. Robust nonlinear H8 filtering for polynomial discrete-time systems 6. Robust nonlinearH8 output feedback control for polynomial discrete-time systems 7. Global stabilization of fuzzy polynomial discrete-time nonlinear systems 8. Global H8 control of fuzzy polynomial discrete-time nonlinear systems 9. Conclusion Appendix A - Mathematical