Results 41 to 50 of about 1,700,750 (206)
Drużkowski matrix search and D-nilpotent automorphisms
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GORNI, Gianluca +2 more
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Deadbeat Robust Model Predictive Control for Linear Parameter‐Varying Systems
ABSTRACT The concept of Deadbeat Robust Model Predictive Control (DRMPC) has recently been established for linear systems, providing full system theoretic guarantees, while reducing the computational and conceptual complexity. This article extends DRMPC to systems with multiplicative uncertainty (“robust linear”) and systems that depend on a (slowly ...
Georg Schildbach, Hossam S. Abbas
wiley +1 more source
A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater than or equal to 2. If there is no such matrix for any integer n > 2, A is called a rootless matrix. After investigating the properties of these matrices,
Chaufah Nilrat, Boonrod Yuttanan
doaj
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Polynomial Liénard systems with a nilpotent global center [PDF]
A center for a differential system x˙ = f(x) in R2 is a singular point p having a neighborhood U such that U \ {p} is filled with periodic orbits. A global center is a center p such that R2 \ {p} is filled with periodic orbits.
Jaume Llibre +3 more
core +1 more source
Purely Coclosed G2‐Structures on Nilmanifolds—II
ABSTRACT This paper completes the classification of seven‐dimensional nilpotent Lie groups endowed with a left‐invariant purely coclosed G2$\text{G}_2$‐structure, initiated in Bazzoni et al. [Mathematische Nachrichten 296 no. 6 (2023): 2236–2257], the authors provided the classification of decomposable seven‐dimensional nilpotent Lie groups and of the ...
Giovanni Bazzoni, Giorgia Petracci
wiley +1 more source
Nilpotent control systems [PDF]
We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the nonlinear system corresponding to the control of the trails pulled by car.We study the class of matrix controlled systems ...
Remm, Elisabeth, Goze, Michel
core +1 more source
Singular M-matrices which may not have a nonnegative generalized inverse
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative.
Sushama Agrawal N. +2 more
doaj +1 more source
Complex networks of coupled maps of matrices (NCMM) are investigated in this paper. It is shown that a NCMM can evolve into two different steady states—the quiet state or the state of divergence.
Rasa Smidtaite +2 more
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The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix [PDF]
Let $k$ be an infinite field. Fix a Jordan nilpotent $n$ by $n$ matrix $B = J_P$ with entries in $k$ and associated Jordan type $P$. Let $Q(P)$ be the Jordan type of a generic nilpotent matrix commuting with $B$. In this paper, we use the combinatorics of a poset associated to the partition $P$, to give an explicit formula for the smallest part of $Q(P)
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