A new D-stability criterion of multiparameter singularly perturbed discrete systems

The stability and D-stability problems of the multiparameter singularly perturbed discrete-time systems and its reduced subsystems are explored in this paper. The critical stability criterion of the discrete system is adopted to examine the stability bounds. A three-step algorithm is proposed to determine an upper bound of the norm of the multiparameter vector ε = [ε₁ ε₂ ··· ε_N]^T. A numerical example is given to compare the new results with those in the literature.