A new stability test for two-dimensional discrete systems using bilinear continuous fractions

Kanellakis, A.; Theodorou, N. J.; Tzafestas, Spyros G.

doi:10.1109/31.16580

Cited by 2 publications

(1 citation statement)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Antoniou et al Focused to reduce the stability criterion of two dimensional systems to stability criterion of one dimensional system [10]. Kanellakis et al put forwarded a new stability testing algorithm [11] where Xiao yang uses the in term polynomial of two dimensional system. Goodman revealed a detailed discussion [12] of stability in effect of inner polynomial.…”

Section: Literature Surveymentioning

confidence: 99%

A Modified Stability Analysis of Two-Dimensional Linear Time Invariant Discrete Systems within the Unity-Shifted Unit Circle

Ramesh¹

2016

View full text Add to dashboard Cite

This paper proposes a method to ascertain the stability of two dimensional linear time invariant discrete system within the shifted unit circle which is represented by the form of characteristic equation. Further an equivalent single dimensional characteristic equation is formed from the two dimensional characteristic equation then the stability formulation in the left half of Z-plane, where the roots of characteristic equation f(Z) = 0 should lie within the shifted unit circle. The coefficient of the unit shifted characteristic equation is suitably arranged in the form of matrix and the inner determinants are evaluated using proposed Jury's concept. The proposed stability technique is simple and direct. It reduces the computational cost. An illustrative example shows the applicability of the proposed scheme.

show abstract

Section: Literature Surveymentioning

confidence: 99%