Results 61 to 69 of about 89 (69)

An iterative approach to solving the polynomial Bezout identity

[Proceedings] 1992 IEEE International Symposium on Circuits and Systems, 2003
Using the generalized state-space concepts, a simple and iterative algorithm for finding the polynomial matrix solutions to the well known polynomial Bezout identity is developed. The polynomial Bezout identity plays a central role in systems design and analysis while using polynomial fractional approaches.
null Chun-Hsiung Fang, null Fan-Ren Chang   +1 more
openaire   +1 more source

Time-varying Bezout identity-based compensation for perturbed MIMO right coprime factorization feedback systems

Second International Conference on Advanced Robotics, Automation Engineering, and Machine Learning (ARAEML 2025)
Mingcong Deng, Zizhen An
exaly   +2 more sources

Factorizations of IIR biorthogonal filter banks based on generalized Bezout identity

1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 2002
This paper explores the ways to obtain causal stable filter bank parameterizations under a generalized Bezout identity framework for perfect reconstruction (PR) biorthogonal filter banks. The main aim is to develop a method for design of perfect reconstruction IIR filter banks that are stable and causal.
Z. Sijercic, G. Agarwal
openaire   +1 more source

On the connection between state-space representation and generalized Bezout identity of multivariable systems

Circuits Systems and Signal Processing, 1996
Given a state-space representation of a reachable and observable system, one derives a novel and complete formula of generalized Bezout identity in polynomial description. The generalized state-space representation is also considered. Two pole-assignment problems can be solved only by constant matrix manipulations.
Chen, W. S., Tsai, J. S. H.
openaire   +2 more sources

Bezout identities and common minor zeros of 2-D polynomial matrices, and applications to time-delay systems

International Journal of Control, 1990
This paper is concerned with factor/zero coprimeness of 2-D polynomial matrices, and studies relating ‘Bezout identities’ and some of their properties. First, we show that a pair of factor coprime matrices satisfies the particular ‘Bezout identities’, which are useful for feedback stabilization.
EITAKU NOBUYAMA, SEIICHI SHIN, SHIGENORI OKUBO, TOSHIYUKI KITAMORI   +3 more
openaire   +1 more source

On explicit solutions to the Bezout equation

Systems and Control Letters, 1984
C A Berenstein
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Reduction of Matrices over Bezout Rings of Stable Rank not Higher than 2

Ukrainian Mathematical Journal, 2003
B V Zabavs'Kyi
exaly  

Newton polytopes and the Bezout theorem

Functional Analysis and Its Applications, 1977
exaly  

Factorizations of IIR biorthogonal filter banks based on generalized Bezout identity

exaly