On the stability of two new recursive 2D-roesser-based discrete models with spatial and time delays

© 2018 ICIC International. This paper presents and discusses from the stability point of view two discrete Roesser-based models whose state evolution has a recursive nature which can be combined in the spatial horizontal and vertical substates and time evolution. A first set of stability results is derived in the absence of controls based on the stability/convergence properties of the matrices defining the dynamics. Later on, two linear control laws are given and the stability properties are reformulated under control feedback. Also, some controllability conditions of certain relevant pairs defining the closed-loop dynamics what allows to prescribe the spectral radii to convenient values to guarantee the stability by means of the synthesis of the controller gains.