Spectral factorization and stochastic realization with zeros on the unit circle

被引：0

作者：

Ferrante, A ^{[1
]}

Picci, G ^{[1
]}

Pinzoni, S ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Ingn Informaz, I-35131 Padua, Italy

来源：

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the spectral factorization problem of a rational m x m spectral density matrix Phi(z) = Phi(z(-1))(T) which has zeros on the unit circle. In the control/estimation literature this situation is either excluded by assuming appropriate stabilizability and detectability conditions or is discussed only partially. Here we provide what seems to be a complete solution, at least in the full-rank case.

引用

页码：1398 / 1403

页数：6

共 50 条

[11] Zeros of Sobolev orthogonal polynomials on the unit circle
Castillo, K.
Garza, L. E.
Marcellan, F.
NUMERICAL ALGORITHMS, 2012, 60 (04) : 669 - 681
[12] POLYNOMIALS WHOSE ZEROS LIE ON THE UNIT CIRCLE
ERDOS, P
HERZOG, F
PIRANIAN, G
DUKE MATHEMATICAL JOURNAL, 1955, 22 (03) : 347 - 351
[13] ON POLYNOMIALS WHOSE ZEROS LIE ON THE UNIT CIRCLE
ERDOS, P
HERZOG, F
PIRANIAN, G
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (06) : 537 - 538
[14] On zeros of discrete paraorthogonal polynomials on the unit circle
Gordillo-Nunez, G.
Suzuki, A.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2025,
[15] POLYNOMIALS WITH ZEROS UNIFORMLY DISTRIBUTED ON THE UNIT CIRCLE
OHARA, PJ
RODRIGUEZ, RS
AMERICAN MATHEMATICAL MONTHLY, 1978, 85 (10): : 814 - 817
[16] Distribution of the zeros of polynomials near the unit circle
Das, Mithun Kumar
JOURNAL OF APPROXIMATION THEORY, 2024, 304
[17] Basic hypergeometric polynomials with zeros on the unit circle
Area, I.
Godoy, E.
Lamblem, R. L.
Ranga, A. Sri
APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 622 - 630
[18] On monotonicity of zeros of paraorthogonal polynomials on the unit circle
Castillo, K.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 580 : 475 - 490
[19] ON THE POLYNOMIALS WITH ALL THEIR ZEROS ON THE UNIT-CIRCLE
CHEN, WY
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 190 (03) : 714 - 724
[20] Zeros of Sobolev orthogonal polynomials on the unit circle
K. Castillo
L. E. Garza
F. Marcellán
Numerical Algorithms, 2012, 60 : 669 - 681

← 1 2 3 4 5 →