Results 91 to 100 of about 83,698 (229)

Decomposition of Automorphisms of Certain Solvable Subalgebra of Symplectic Lie Algebra over Commutative Rings

International Journal of Mathematics and Mathematical Sciences, 2012
Let Cl+1(R) be the 2(l+1)×2(l+1) matrix symplectic Lie algebra over a commutative ring R with 2 invertible. Then tl+1CR  =  {m-1m-20-m-1T ∣ m̅1 is an l+1 upper triangular matrix, m̅2T=m̅2,  over  R} is the solvable subalgebra of Cl+1(R).
Xing Tao Wang, Lei Zhang
doaj   +1 more source

Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley   +1 more source

Cocharacters of upper triangular matrices [PDF]

International Journal of Group Theory, 2013
We survey some recent results on cocharacters of upper triangularmatrices. In particular, we deal both with ordinary and graded cocharactersequence; we list the principal combinatorial results; we show di erent tech-niques in order to solve similar ...
Lucio Centrone
doaj  

Massey products and deformations

, 1996
The classical deformation theory of Lie algebras involves different kinds of Massey products of cohomology classes. Even the condition of extendibility of an infinitesimal deformation to a formal one-parameter deformation of a Lie algebra involves Massey
Fuchs, Dmitry, Lang, Lynelle
core   +1 more source

Tactical and Strategic Risks From Supply Disruptions in Competing Supply Chains

Naval Research Logistics (NRL), EarlyView.
ABSTRACT Supply chain disruptions can lead to both tactical (i.e., loss of short‐term sales during a disruption) and strategic (i.e., loss of long‐term market share) consequences. We model the impact of a supply disruption on competing supply chains in which two firms compete for a limited backup supply.
Akhil Singla, Wallace J. Hopp, Seyed M. R. Iravani, Zigeng Liu   +3 more
wiley   +1 more source

Waring problem for triangular matrix algebra

Linear Algebra and its Applications
The Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
openaire   +3 more sources

k-Commuting maps on triangular algebras

Linear Algebra and its Applications, 2012
In this paper, \(k\)-commuting maps on certain triangular algebras are determined. As an application it is shown that every \(k\)-commuting map on an upper triangular matrix algebra over a unital commutative ring of 2-torsion free or a nest algebra is proper.
Du, Yiqiu, Wang, Yu
openaire   +2 more sources

A model for the relatively free graded algebra of block triangular matrices with entries from a graded algebra

, 2013
Let G be a group and A be a G-graded algebra satisfying a polynomial identity. We buid up a model for the relative free G-graded algebra and we obtain, as an application, the "factoring" property for the T_G-ideals of block triangular matrices with ...
Centrone, Lucio, de Mello, Thiago Castilho   +1 more
core  

Adaptive Sliding Mode Control Design for Interval Type‐2 T–S Fuzzy Systems With Time Delay: An Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha, Ginalber L. O. Serra   +1 more
wiley   +1 more source

Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras

Special Matrices, 2018
Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N., Ashraf Mohammad, Jabeen Aisha   +2 more
doaj   +1 more source