Results 41 to 50 of about 419,229 (311)

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms

, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Osamu Kaneko, Paolo Rapisarda, Chiaki Kojima, Kojima, Chiaki, Kiyotsugu Takaba, Takaba, Kiyotsugu, Kaneko, Osamu, Rapisarda, Paolo   +7 more
core   +1 more source

Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations

Математичні Студії
We investigate the solutions of the Sylvester-type matrix polynomial equation $$A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda),$$ where\ $A(\lambda),$ \ $ B(\lambda),$\ and \ $C(\lambda)$ are the polynomial matrices with elements in a ring of ...
N. S. Dzhaliuk, V. M. Petrychkovych
doaj   +1 more source

Novel Bäcklund Transformations for Integrable Equations

Mathematics, 2022
In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
doaj   +1 more source

A numerical evaluation of solvers for the periodic Riccati differential equation

, 2009
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga, Varga, Andreas, Varga, Andras,, Varga, Andras, Sergei Gusev, Kagström, Bo, Anton Shiriaev, Gusev, Sergei,, Shiriaev, Anton,, Stefan Johansson, Johansson, Stefan, Shiriaev, Anton, Kågström, Bo,, Gusev, Sergei, Johansson, Stefan,   +14 more
core   +1 more source

Reduction of the modified Poincaré differential equation to Birkhoff matrix form [PDF]

, 2001
summary:In this paper the reduction of the modified Poincaré linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is ...
Risteski, Ice B.
core   +1 more source

Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
doaj   +1 more source

Solution to Several Split Quaternion Matrix Equations

Mathematics
Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties.
Xin Liu, Tong Shi, Yang Zhang
doaj   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Quivers and Matrix Equations

Linear Algebra and its Applications, 1995
In this clearly written paper, the author shows how to reduce each of the matrix equations \(AXB = C\) and \(AX - YB = C\) to a canonical form in which the solutions are evident. He goes on to explain the genesis of these canonical forms in the representation theory of quivers corresponding to the Dynkin diagrams of types \(A_3\) and \(A_4\).
openaire   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

FEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil, Anna Corrà, Annalisa Scapolatiello, Chengxiang Qiu, Gianluca Amadei   +4 more
wiley   +1 more source