Results 1 to 10 of about 237 (22)
Stabilization of nonlinear systems by similarity transformations [PDF]
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
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
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
An Approximate Version of the Jordan von Neumann Theorem for Finite Dimensional Real Normed Spaces [PDF]
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
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Hamiltonian Systems Inspired by the Schr\"odinger Equation [PDF]
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
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Inverse semigroups generated by linear transformations [PDF]
Suppose X is a set with cardinal p and let q be an infinite cardinal less or equal than p. Let B=BL(p,q) denote the Baer-Levi semigroup defined on X. In 1984, Howie and Marques-Smith showed that, if p=q, then BB^{-1}=I(X), the symmetric inverse semigroup
Gonçalves, Suzana Mendes +1 more
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Existence of an invariant form under a linear map
Let $\F$ be a field of characteristic different from $2$ and $\V$ be a vector space over $\F$. Let $J: \alpha \to \alpha^J$ be a fixed involutory automorphism on $\F$. In this paper we answer the following question: given an invertible linear map $T: \V \
Gongopadhyay, Krishnendu +1 more
core +1 more source
Cycles of linear and semilinear mappings
We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arrow ---> or
Bass +16 more
core +1 more source
A method for computing quadratic Brunovsky forms
In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J.
Jin, Wen-Long
core +3 more sources
Pasting and Reversing Approach to Matrix Theory
The aim of this paper is to study some aspects of matrix theory through Pasting and Reversing. We start giving a summary of previous results concerning to Pasting and Reversing over vectors and matrices, after we rewrite such properties of Pasting and ...
Acosta-Humánez, Primitivo B. +1 more
core +1 more source

