Results 141 to 150 of about 1,420 (175)

Hankel matrix transformation of the Walsh–Fourier series

Applied Mathematics and Computation, 2013
The Hankel matrix has various applications. In this paper we prove that Hankel matrix is strongly regular and apply to obtain the necessary and sufficient conditions to sum the Walsh-Fourier series of a function of bounded variation.
Mohammed I Alghamdi, M Mursaleen
exaly   +2 more sources

Testing the rank of the Hankel covariance matrix: a statistical approach

IEEE Transactions on Automatic Control, 2001
Summary: The rank of a Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of a Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In this note, we propose new statistical tests to determine
Gonzalo Camba-Mendez, George Kapetanios
exaly   +3 more sources

Approximate realization based upon an alternative to the Hankel matrix: the Page matrix

Systems and Control Letters, 1982
The Ho-Kalman algorithm creates a minimum realization of a system, when given a series of deterministic Markov parameters. However, when such a 'truncated' series of Markov parameters has been disturbed with noise, an approximating Hankel matrix has to be constructed for applying the realization algorithm.
P M J Van Den Hof
exaly   +3 more sources

System Approximation via Restructured Hankel Matrix

Circuits, Systems, and Signal Processing, 2021
This paper presents a modified minimal realization technique to reduce single input single output (SISO) systems from higher-order SISO systems. The reduction process is based on restructuring the Hankel matrix, which consists of two major elements, i.e., Time Moments and Markov parameters.
Ramveer Singh Sengar, Kalyan Chatterjee, Jay Singh   +2 more
openaire   +1 more source

A Hankel matrix acting on Fock spaces

Journal of Nonlinear and Variational Analysis, 2023
Summary: Let \(\nu\) be a positive Borel measure on the interval \([0,\infty)\). Let \(\mathcal{H}_\nu=(\nu_{n,k})_{n,k\geq 0}\) be the Hankel matrix with entries \(\nu_{n,k}=\int_{[0,\infty)}\frac{ t^{n+k}}{n!}\,d\nu(t)\). The matrix \(\mathcal{H}_\nu\) induces formally the operator \(\mathcal{H}_\nu(f)(z)=\sum_{n=0}^{\infty}(\sum_{k=0}^{\infty}\nu_{n,
Zhuo, Zhengyuan, Shen, Conghui, Li, Dongxing, Li, Songxiao   +3 more
openaire   +2 more sources

The core invertibility of a companion matrix and a Hankel matrix

Linear and Multilinear Algebra, 2018
ABSTRACTIn this paper, we show that the lower companion matrix associated with the monic polynomial over a ring with unity is core invertible if and only if there exist solutions x and y to (i) , (ii) , (iii) , (iv)  In addition, some methods of characterizing and computing the core inverse of a Hankel matrix and a Toeplitz matrix over a field are ...
Tingting Li, Jianlong Chen
openaire   +1 more source

The Hankel Matrix Solution to a System of Quaternion Matrix Equations

2020 Chinese Control And Decision Conference (CCDC), 2020
The solution of matrix equations and the optimal approximation problem play an important role in linear optimal control, parameter identification, structural vibration, aviation and other fields. Hankel matrix is kind of matrix with special structure and wide application. In this paper, the problem of Hankel constraint solution to the system [AXB CXD]=[
Yun Wang, Jingpin Huang, Hao Xiong, Shanshan Zhang   +3 more
openaire   +1 more source

On Hankel Nonnegative Definite Sequences, the Canonical Hankel Parametrization, and Orthogonal Matrix Polynomials

Complex Analysis and Operator Theory, 2010
The authors study several classes of finite sequences of complex \(q\times q\) matrices, in connection with two matricial versions of the truncated Hamburger moment problem. Specifically, these classes of finite sequences of matrices are related to the following matrix versions of the truncated moment problem:{\parindent=8mm \begin{itemize}\item[(i ...
Fritzsche, Bernd, Kirstein, Bernd, Mädler, Conrad   +2 more
openaire   +2 more sources