Generalized alpha-VSH polynomials and stability of delta-operator based 2D discrete-time systems

Abstract

Delta (/spl delta/-) operator formulation for discrete time systems with sampling period T as explicit variable merges to the underlying continuous time system as T/spl rarr/0. The paper uses this fact in studying the stability of two-dimensional (2D) /spl delta/-discrete time (DT) systems and formulates the concept of the /spl alpha/-very strict Hurwitz polynomial (VSHP). This is related to the 2D (1//spl alpha/)-Schur polynomial through inverse variable transformation. The properties and test procedures for /spl alpha/-VSHF and its importance in the structural stability of 2D /spl delta/-DT systems are presented.