Results 1 to 10 of about 295 (28)
Stabilization of nonlinear systems by similarity transformations [PDF]
International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 519-526, 1998., 1998 For a system x˙=A(x)+b(x)u, u(x)=s∗(x)x, x∈ℝn, where the pair (A(x),b(x)) is given, we obtain the feedback vector s(x) to stabilize the corresponding closed loop system.
Irina E. Zuber
core +2 more sources
Independence, infinite dimension, and operators
Moroccan Journal of Pure and Applied Analysis, 2023 In [Appl. Comput. Harmon. Anal., 46 (2019), 664673] O. Christensen and M. Hasannasab observed that assuming the existence of an operator T sending en to en+1 for all n ∈ ℕ (where (en)n∈ℕ is a sequence of vectors) guarantees that (en)n∈ℕ is linearly ...
Idrissi Nizar El, Kabbaj Samir
doaj +1 more source
Topological entropy for locally linearly compact vector spaces and field extensions
Topological Algebra and its Applications, 2020 Let 𝕂 be a discrete field and (V, ϕ) a pair consisting of a locally linearly compact 𝕂-space V and a continuous endomorphism ϕ: V → V. We provide the formulae to compute the topological entropy ent* of the flow (V, ϕ) subject to either extension or ...
Castellano Ilaria
doaj +1 more source
A note on the span of Hadamard products of vectors [PDF]
, 2008 We give a new proof of Theorem 6 in [L. Qiu and X. Zhan, On the span of Hadamard products of vectors, Linear Algebra Appl.
Bannai +4 more
core +2 more sources
Characterization of the Oblique Projector $U(VU)^+V$ with Application to Constrained Least Squares [PDF]
, 2009 We provide a full characterization of the oblique projector $U(VU)^+V$ in the general case where the range of $U$ and the null space of $V$ are not complementary subspaces.
Aleš Černý +12 more
core +2 more sources
An Approximate Version of the Jordan von Neumann Theorem for Finite Dimensional Real Normed Spaces [PDF]
, 2013 It is known that any normed vector space which satisfies the parallelogram law is actually an inner product space. For finite dimensional normed vector spaces over R, we formulate an approximate version of this theorem: if a space approximately satisfies
Passer, Benjamin
core +1 more source
Hamiltonian Systems Inspired by the Schr\"odinger Equation [PDF]
, 2008 Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered.
Kovalchuk, Vasyl +1 more
core +1 more source
The Cayley transform of Banach algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 427-428, 2002., 2002 The main result of Haynes (1991) is that a square matrix is convergent (limn→∞Dn = 0) if and only if it is the Cayley transform CA = (I−A)−1(I + A) of a stable matrix A. In this note, we show, with a simple proof, that the above is true in a much more general setting of complex Banach algebras.
Zhidong Pan
wiley +1 more source
Hessenberg Pairs of Linear Transformations [PDF]
, 2008 Let $\fld$ denote a field and $V$ denote a nonzero finite-dimensional vector space over $\fld$. We consider an ordered pair of linear transformations $A: V \to V$ and $A^*: V \to V$ that satisfy (i)--(iii) below. Each of $A, A^*$ is diagonalizable on $V$.
Godjali, Ali
core +3 more sources
Acta Universitatis Sapientiae: Mathematica, 2017 We consider the paracomplex version of the notion of mixed linear spaces introduced by M. Jurchescu in [4] by replacing the complex unit i with the paracomplex unit j, j2 = 1.
Crasmareanu Mircea
doaj +1 more source