Robust stabilizationof linear Discrete-Time Systems with Non-linear Uncertain parameters

This paper deals with the problem of robust stabilization of non-linear discrete-time systems with uncertain parameters. The parameter uncertainties are assumed to be time-invariant and norm-bounded. Through a strict linear matrix inequality (LMI), we provide a sufficient condition for designing a memory less state feedback controller which guarantees the stability of the closed-loop systems and at the same time maximized the bound on the non-linearity. By the end, we extend the results to discrete time-delay systems.