Results 191 to 200 of about 2,503,474 (234)

Global Sampled-Data Regulation of a Class of Fully Actuated Invariant Systems on Simply Connected Nilpotent Matrix Lie Groups

IEEE Transactions on Automatic Control, 2022
In this article, we examine a regulator problem for a class of fully actuated continuous-time invariant systems on Lie groups, using a discrete-time controller with constant sampling period.
P. J. McCarthy, Christopher Nielsen
semanticscholar   +1 more source

DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS

Journal of Algebra and Its Applications, 2010
Derivations of the ring of all finitary niltriangular matrices over an arbitrary associative ring with identity for any chain of matrix indices are described. Every Lie or Jordan derivation is a derivation of this ring modulo third hypercenter.
V. M. Levchuk, O. V. Radchenko
semanticscholar   +2 more sources

ENUMERATION OF IDEALS OF SOME NILPOTENT MATRIX RINGS

Journal of Algebra and Its Applications, 2013
Using the method of integral representation of combinatorial sums we enumerate ideals of certain nilpotent matrix rings.
G. Egorychev, F. Kuzucuoğlu, V. M. Levchuk   +2 more
semanticscholar   +3 more sources

Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices [PDF]

, 2018
Qixiang Dong, Jiu Ding, Qianglian Huang
semanticscholar   +2 more sources

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Boletín de la Sociedad Matematica Mexicana
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J. P. Velasquez-Rodriguez
semanticscholar   +1 more source

On a matrix nilpotent filter

Mathematical Notes, 2012
We define two families of homogeneous ideals of the algebra of polynomials generated by power entries of the general matrix and its operator invariants. We study the combinatorial characteristics of these ideals and, in greater detail, the case of second order.
openaire   +1 more source

Reduction of a nilpotent fuzzy matrix

Information Sciences, 1982
Abstract A problem of reducing fuzzy matrices is considered, and some results are obtained with regard to nilpotent matrices. First reduction of irreflexive and transitive matrices is examined and then the results are applied to nilpotent matrices.
openaire   +1 more source

On fine matrix representations of nilpotent operators

Acta Mathematica Sinica, 1985
Let H be a complex Hilbert space and A be a nilpotent operator of order n. Put \(H_ k=\ker A^{k+1}\Theta \ker A^ k\), \(P_ k=P_{H_ k}\), \(A_ k=P_ kAP_{k+1}\).
openaire   +2 more sources

Matrix representability of nilpotent products of groups

Mathematical Notes of the Academy of Sciences of the USSR, 1973
Necessary and sufficient conditions are determined for the matrix representability over a field of zero characteristic of the second nilpotent product of arbitrary matrix groups and of an arbitrary nilpotent product of Abelian matrix groups.
openaire   +2 more sources

ON THE MAXIMAL NILPOTENT ORBIT THAT INTERSECTS THE CENTRALIZER OF A MATRIX

Transformation groups, 2022
R. Basili
semanticscholar   +1 more source