Sufficient criterion for instability of 2-D linear discrete systems

Abstract

In this paper, a theorem for the instability checking of linear shift-invariant two-dimensional discrete systems is proposed. This is based on the results for the location of the roots of polynomials presented by Mori and the criterion for the stability of 2-D discrete systems presented by Murray and Delsarte et al. The theorem provides a new sufficient criterion which can be applied easily for the 2-D instability checking. This is demonstrated by detailed examples.

Keywords

• Two-dimensional (2-D or 2D) linear systems
• Discrete systems
• Instability
• Stability
• Transfer function
• Polynomials