@misc{Duan_Ruirui_Stability, author={Duan, Ruirui and Li, Junmin and Zhang, Yanni and Yang, Ying and Chen, Guopei}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper focuses on the problem of constraint control for a class of discrete-time nonlinear systems. Firstly, a new discrete T-S fuzzy hyperbolic model is proposed to represent a class of discrete-time nonlinear systems. By means of the parallel distributed compensation (PDC) method, a novel asymptotic stabilizing control law with the "soft" constraint property is designed.}, abstract={The main advantage is that the proposed control method may achieve a small control amplitude. Secondly, for an uncertain discrete T-S fuzzy hyperbolic system with external disturbances, by the proposed control method, the robust stability and H[the sign of infinity] performance are developed by using a Lyapunov function, and some sufficient conditions are established through seeking feasible solutions of some linear matrix inequalities (LMIs) to obtain several positive diagonally dominant (PDD) matrices.}, abstract={Finally, the validity and feasibility of the proposed schemes are demonstrated by a numerical example and a Van de Vusse one, and some comparisons of the discrete T-S fuzzy hyperbolic model with the discrete T-S fuzzy linear one are also given to illustrate the advantage of our approach.}, type={artykuł}, title={Stability analysis and H[the sign of infinity] control of discrete T-S fuzzy hyperbolic systems}, keywords={discrete T-S fuzzy hyperbolic model, parallel distributed compensation (PDC), positive diagonally dominant (PDD) matrices, robust stability}, }