Results 201 to 210 of about 26,813 (231)

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

Systems & 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.
Damen, A. A.H., van den Hof, P. M.J., Hajdasinski, A. K.   +2 more
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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

Complex Analysis and Operator Theory, 2014
The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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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 A. Alghamdi, M. Mursaleen
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A Hankel matrix approach to stochastic model reduction

IEEE Transactions on Automatic Control, 1985
This short paper presents a procedure for obtaining a reduced-order state variable model for a stationary Gaussian process. This procedure uses the stochastic realization theory presented in earlier papers by the second author [e.g., Stochastics 7, 1-27 (1982; Zbl 0498.60038)] and the Hankel matrix results by \textit{V. M. Adamyan}, \textit{D. Z. Arov}
Bacon, Barton J., Frazho, Arthur E.
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Controllability indices, observability indices and the Hankel matrix

International Journal of Control, 1981
A procedure is presented for determining the controllability indices and the observability indices of a linear, time-invariant, strictly proper, controllable and observable system from the truncated Hankel matrix.
TRIFON G. KOUSSIOURIS, GEORGE P. KAFIRIS
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Hankel Matrix and Singular Value Decomposition

1990
This chapter constructs a Hankel matrix from auto-covariance matrices of time series which are used in Chapter 9 to estimate system matrices in the state space models for the data-generating processes. This chapter describes several concepts and relations needed in the later chapters.
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On Hankel Matrix Approximations and Stochastic Model Reduction

IFAC Proceedings Volumes, 1985
Abstract A procedure for stochastic model reduction is presented by using the Hankel matrix results of Adamjan, Arov and Krein. It is shown that the error of the resulting Mth-order approximation is bounded from above by the M + 1 singular value of the system's Hankel matrix.
B.J. Bacon, A.E. Frazho
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Toeplitz and Hankel matrix approximation using structured approach

Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002
Algorithms are presented for least-squares approximation of Toeplitz and Hankel matrices from noise corrupted or ill-composed matrices, which may not have correct structural or rank properties. Utilizing Caratheodery theorem on complex number representation to model the Toeplitz and Hankel matrices, it is shown that these matrices possess specific row ...
Shaw, Arnab K., Pokala, Srikanth, Kumaresan, Ramdas   +2 more
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Another Constructed Chaotic Image Encryption Scheme Based on Toeplitz Matrix and Hankel Matrix

Fundamenta Informaticae, 2010
This paper presents a novel image encryption scheme based on Toeplitz matrix and Hankel matrix. According to the definition and the expression of Toeplitz matrix and Hankel matrix, we permutate the positions of image pixels to confuse the relationship between the plain-image and cipher-image, and construct a new key. To enhance security further, hyper-
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Toeplitz/Hankel Matrix Structure and Polynomial Computations

2001
Toeplitz matrices, Hankel matrices, and matrices with similar structures (such as Frobenius, Sylvester, and subresultant matrices) are probably the most studied structured matrices. Among their numerous important areas of application, we select fundamental polynomial computations, including multiplication, and the Extended Euclidean Algorithm, together
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