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STRATEGY FOR TO STABILIZE NON LINEAR SYSTEMS THROUGH DIRECTIONAL CONTROLS
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Inverse problem and equivalent contact systems
We present several results on the inverse problem and equivalent contact Lagrangian systems. These problems naturally lead to consider smooth transformations on the z variable (i.e., reparametrizations of the action). We ...
Performance of the Equivalent Reservoir Modelling Technique for Multi-Reservoir Hydropower Systems
(SPRINGER, 2010)
This paper investigates the validity of a simplified equivalent reservoir representation of a multi-reservoir hydroelectric system for modelling its optimal operation for power maximization. This simplification, proposed ...
Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line
(Amer Inst Mathematical Sciences-AIMS, 2021)
A linear system of di erence equations and a nonlinear perturbation
are considered, we obtain su cient conditions to ensure the topological
equivalence between them, namely, the linear part satis es a property of ...
A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy
(Taylor & Francis, 2016)
We obtain sufficient conditions ensuring the topological and strong topological equivalence of two perturbed difference systems whose linear part has a property of generalized exponential dichotomy. When the exponential ...
On the equivalence problem for bracket-generating distributions
(American Mathematical Society, 2014-02)
We describe Tanaka´s version of Cartan Equivalence Method for bracket-generating distributions in a form suited to study the horizontal distributions on period domains and on their boundaries, and apply it to certain ...
Equivalence of Haar Bases Associated with Different Dyadic Systems
(Springer, 2011-04)
In this note we give sufficient conditions on two dyadic systemson a space of homogeneous type in order to obtain the equivalence of corre-sponding Haar systems on Lebesgue spaces. The main tool is the vector valuedFe ...
Harmonic propagation analysis in electric energy distribution systems
(2011-12-01)
An important alteration of the equivalent loads profile has been observed in the electrical energy distribution systems, for the last years. Such fact is due to the significant increment of the electronic processors of ...
Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems
(Academic Press, 2017)
In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions ...
Smoothness of topological equivalence on the half line for nonautonomous systems
(Cambridge University Press, 2020)
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we ...