Abstract
In this paper we provide some results that replace the condition ”real-zero” by the properties so-called x-substitution and y-substitution. We show that using these properties, we can still write the determinantal representation of a stable polynomial in terms of identity and Hermitian matrices.
Highlights
A Short Note on Determinantal Representation of Stable PolynomialsReceived: July 29, 2020 Accepted: August 28, 2020 Online Published: September 15, 2020 doi:10.5539/jmr.v12n5p43
We show that using these properties, we can still write the determinantal representation of a stable polynomial in terms of identity and Hermitian matrices
Stability of multivariate polynomials is an important concept arising in a variety of disciplines, such as Analysis, Electrical Engineering, and Control Theory
Summary
Received: July 29, 2020 Accepted: August 28, 2020 Online Published: September 15, 2020 doi:10.5539/jmr.v12n5p43
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