Results 191 to 200 of about 31,702 (236)
International Journal of Control, 1972 Necessary and sufficient conditions of pointwise completeness at time t1 (i.e. no component of the n-dimensional state vector should be equal to zero at time i, for all possible choices of the initial functions) of any system of the form x(t)= Ax(t) + Bx(t-h) are given.
A.K. Choudhury
exaly +4 more sources
On pointwise complete pairs of linear transformations
Journal of Applied and Industrial Mathematics, 2011 We prove the pointwise completeness of the order n system with constant coefficients under the assumption that the matrices of the system split into square blocks of the same size so that the collection of all blocks embeds into a finite dimensional associative division algebra; the block rank of the passive matrix is at most 2.
A. A. Korobov
openalex +2 more sources
Complete Riemannian manifolds with pointwise pinched curvature
Inventiones Mathematicae, 2000 This paper deals with the problem of finding pinching conditions for the compactness of a Riemannian manifold. Let \((M,g)\) be a Riemannian manifold, with \(\dim M>2\) and consider the orthogonal decomposition of the Riemannian curvature: \(R={\mathcal W}+U+V\) where \({\mathcal W}\) denotes the Weyl tensor, while \(U\) are \(V\) are the algebraic ...
Bing-Long Chen, Xi-Ping Zhu
openalex +3 more sources
Effective conditions of pointwise completeness for linear delay systems
Journal of Applied and Industrial Mathematics, 2009 A complete description is given of pointwise degenerate third- and fourth-order linear systems with constant coefficients. Some new sufficient effective conditions are found for the pointwise completeness of the nth-order systems whose matrices have the block triangular form.
A. A. Korobov
openalex +2 more sources
The problem of pointwise completeness in the theory of control of differential-difference systems
Russian Mathematical Surveys, 1994 Linear multivariable systems with delays are considered. Relative null- controllability for an arbitrary initial function is defined and a necessary and sufficient condition about this property is presented and proved. Then the concepts of pointwise completeness and pointwise degenerativeness are introduced.
А. В. Метельский
openalex +2 more sources
The pointwise dimension of self-similar measures in complete metric spaces
Chaos, Solitons & Fractals, 2004 For a probability measure \(\mu\) on a complete metric space \(X\), the pointwise dimension of \(\mu\) at \(x \in X\) is given by \[ d_\mu(x):=\lim_{r \to 0} \frac{\log \mu(B(x,r))}{\log r} \] provided that the limit exists. In the paper, the pointwise dimension of self-similar measures is investigated under the condition that the strong open set ...
Chen Ercai, Tassilo Küpper
openalex +3 more sources
Pointwise Completeness and Pointwise Degeneracy of Linear Systems
, 2011 Tadeusz Kaczorek
openalex +2 more sources
Approximation Theory and its Applications, 1990 The pointwise complete asymptotic expansion is derived for the approximation of Lipschitz functions by Hermite-Fejer interpolation polynomials based on the Chebyshev polynomials of the first kind.
Jiang Yuanlin
openalex +2 more sources
The Hypoidempotent Radicals in Normal Classes of Pointwise Complete Alagebra
Pure Mathematics, 2021 宗文 杨
openalex +2 more sources