Title :
Generalized α-VSH polynomials and stability of δ-operator based 2D discrete-time systems
Author :
Reddy, Hari C. ; Rajan, P.K.
Author_Institution :
Dept. of Electr. Eng., California State Univ., Long Beach, CA, USA
Abstract :
Delta (δ-) operator formulation for discrete time systems with sampling period T as explicit variable merges to the underlying continuous time system as T→0. The paper uses this fact in studying the stability of two-dimensional (2D) δ-discrete time (DT) systems and formulates the concept of the α-very strict Hurwitz polynomial (VSHP). This is related to the 2D (1/α)-Schur polynomial through inverse variable transformation. The properties and test procedures for α-VSHF and its importance in the structural stability of 2D δ-DT systems are presented.
Keywords :
continuous time systems; discrete time systems; mathematical operators; numerical stability; polynomials; δ-operator formulation; 2D discrete-time systems; Schur polynomial; continuous time system; delta-operator formulation; generalized α-very strict Hurwitz polynomials; inverse variable transformation; two-dimensional discrete time systems; Continuous time systems; Convergence; Discrete time systems; Polynomials; Sampling methods; Stability analysis; Structural engineering; System testing; Transfer functions; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465111
