Multidimensional systems: BIBO stability test based on functional Schur coefficients

Ioana Serban (1) , Mohamed Najim (1)

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

This paper presents a multidimensional extension of the Schur–Cohn algorithm for testing BIBO stability in variables. This new method only needs a unique condition to be checked, as an alternative to the set of conditions of the well-known Huang-Jury-Anderson stability test. The proposed algorithm is based on a generalization of the Schur coefficients recently obtained by the authors. In the two-variable case a simplification to the Sturm algorithm is presented, which can also be used in the case of a polynomial with complex coefficients. This approach is illustrated on several numerical examples.

Mots clés: multidimensional BIBO 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. Multidimensional systems: BIBO stability test based on functional Schur coefficients. IEEE Signal Processing Magazine, 2007, 55 (11), pp.5277 - 5285. ⟨10.1109/TSP.2007.896070⟩. ⟨hal-00181756⟩