WebAB - In 1961 Youla published his paper 'On the factorization of rational matrices'. He … Web5 de abr. de 2024 · Nonnegative matrix factorization (NMF) models are widely used to analyze linearly mixed nonnegative data. When the data is made of samplings of continuous signals, the factors in NMF can be constrained to be samples of nonnegative rational functions. This leads to a fairly general model referred to as NMF using rational …
Rational Matrix - an overview ScienceDirect Topics
WebIn this paper, the roblems of doing spectral and inner-outer factorizations via state-space methods are studied when the matrix to be factored is real-rational and surjective on the extended maginary axis. WebTo prove the existence of polynomial matrix spectral factorization, we begin with the rational polynomial matrix Cholesky Decomposition and modify it to remove lower half plane singularities. Namely given with each entry a complex coefficient polynomial we have rational polynomial matrix with for real , where has no lower half plane poles. sicily arab
Quasicomplete factorizations of rational matrix functions
WebReceived 27 October 2002 The problem ofJ-factorization of rational matrices, which have zeros and poles on the imaginary axis, is reduced to construction of the solutions of two algebraic Riccati equations. For construction of these solutions, it is offered to use appro- priate algorithms. WebJ, J '-lossless factorization plays a central role in H ∞ -control because it gives a simple and unified framework of H ∞ -control from the viewpoint of classical network theory, and it includes the well-known inner--outer factorization of rational matrices, Wiener--Hopf factorization, and spectral factorization of positive rational matrices as … WebIn 1961 Youla published his paper 'On the factorization of rational matrices'. He proved that any proper rational parahermitian matrix, positive definite on the imaginary axis can be factorized as the product of a proper rational matrix, stable with respect to the closed right half plane, and its adjoint. sicily april weather