Results 121 to 130 of about 3,001,107 (332)
On minimal non-elementary Lie algebras [PDF]
arXiv, 2013 The class of minimal non-elementary Lie algebras over a field F are studied. These are classified when F is algebraically closed and of characteristic different from 2,3. The solvable algebras in this class are also characterised over any perfect field.
arxiv
Asian Journal of Control, EarlyView.Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui +2 more
wiley +1 more source
Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
doaj +1 more source
Full‐order observer design for quadratic port‐controlled Hamiltonian systems
Asian Journal of Control, EarlyView.Abstract The full‐order observer design problem for a particular class of port‐controlled Hamiltonian systems is approached in this paper. The proposed full‐order observer scheme belongs to the structure preserving class of dynamic estimators as it preserves the natural stability properties of the approached class of systems that are useful for the ...
Michael Rojas +2 more
wiley +1 more source
Corestrictions of algebras and splitting fields
, 2007 Given a field $F$, an \'etale extension $L/F$ and an Azumaya algebra $A/L$, one knows that there are extensions $E/F$ such that $A \otimes_F E$ is a split algebra over $L \otimes_F E$.
Krashen, Daniel
core +1 more source
About split quaternion algebras over quadratic fields and symbol algebras of degree $n$ [PDF]
arXiv, 2015 In this paper we determine sufficient conditions for a quaternion algebra to split over a quadratic field. In the last section of the paper, we find a class of division symbol algebras of degree $n$ (where $n$ is a positive integer, $n\geq 3$) over a $p-$ adic field or over a cyclotomic field.
arxiv
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
Loop Quantum Gravity Vacuum with Nondegenerate Geometry
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In loop quantum gravity, states of the gravitational field turn out to be excitations over a vacuum state that is sharply peaked on a degenerate spatial geometry.
Hanno Sahlmann, Tim Koslowski
doaj +1 more source
Splitting full matrix algebras over algebraic number fields
Journal of Algebra, 2012 Let K be an algebraic number field of degree d and discriminant D over Q. Let A be an associative algebra over K given by structure constants such that A is isomorphic to the algebra M_n(K) of n by n matrices over K for some positive integer n. Suppose that d, n and D are bounded.
Lajos Rónyai +2 more
openaire +2 more sources
Battery Energy, EarlyView.To handle nonlinearity and feature coupling, a data‐driven aging model is proposed, employing dual Gaussian Process Regressions and transfer learning to enhance model efficiency and accuracy. Adaptive filtering refines the model by integrating aging features and output capacity, resulting in a closed‐loop data fusion framework for SOH estimation ...
Zhiqiang Lyu +3 more
wiley +1 more source