New Results and Applications on Robust Stability and Tracking of Pseudo-Quadratic Uncertain MIMO Discrete-Time Systems

In this paper new fundamental theorems are stated, which allow to easily determine a first-order majorant system of a pseudo-quadratic uncertain MIMO discrete-time system. For the above class of systems, some results and systematic methods are provided, which allow to solve, “via majorant system”, several analysis problems of robust stability, stabilization and tracking of a generic reference signal with bounded variation in presence of a generic disturbance with bounded variation. The utility and the efficiency of the main results proposed in this paper are illustrated with three significant examples.