A Slice Based 3-D Schur-Cohn Stability Criterion

Ioana Serban (1) , Mohamed Najim (1)

1 IMS - Laboratoire de l'intégration, du matériau au système

In this paper a new necessary and sufficient criterion of BIBO stability of 3-D filters is given, based on a recent n-D extension of the Schur coefficients associated to a polynomial. The criterion relies upon the slice functions mechanism, and is given as an extended 3-D Jury Table. Several examples are provided to show how the new procedure reduces the complexity of stability tests that are using the Anderson Jury criterion of stability.

Mots clés: 3-D algorithm for stability

Domaines: Traitement du signal et de l'image [eess.SP]; Automatique / Robotique; Traitement du signal et de l'image [eess.SP]

Ioana Serban, Mohamed Najim. A Slice Based 3-D Schur-Cohn Stability Criterion. ICASSP 2007, Apr 2007, Honolulu, United States. pp.III-1405 - III-1408. ⟨hal-00181762⟩