New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Luis E. Garza, Noé Martínez and Gerardo Romero
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Luis E. Garza: Facultad de Ciencias, Universidad de Colima, Colima 28045, Mexico
Noé Martínez: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
Gerardo Romero: Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico

Mathematics, 2020, vol. 8, issue 8, 1-15

Abstract: A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szeg? transformation. Some examples are presented.

Keywords: orthogonal polynomials on the unit circle; Schur polynomials; Hurwitz polynomials; Szeg? transformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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