On generalization of classical Hurwitz stability criteria for matrix polynomials

30 Sep 2019 Zhan Xuzhou Dyachenko Alexander

In this paper, we associate a class of Hurwitz matrix polynomials with Stieltjes positive definite matrix sequences. This connection leads to an extension of two classical criteria of Hurwitz stability for real polynomials to matrix polynomials: tests for Hurwitz stability via positive definiteness of block-Hankel matrices built from matricial Markov parameters and via matricial Stieltjes continued fractions... (read more)

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Categories


  • CLASSICAL ANALYSIS AND ODES
  • SPECTRAL THEORY