323,827 research outputs found

    LaSalle`s theorems in impulsive semidynamical systems

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    We consider a semidynamical system subject to variable impulses and we obtain the LaSalle invariance principle and the asymptotic stability theorem for this semidynamical system. (C) 2009 Elsevier Ltd. All rights reserved.Fapesp[2008/03680-4]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP

    Enfermedad de Charcot de pie y tobillo en pacientes con diabetes Mellitus: análisis de las causas de re consultas en una Unidad de pie diabético hospitalaria

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    Alicia Lasalle Vignolo: Especialista en Ortopedia y Traumatología. Ex asistente de la Clínica de Ortopedia y Traumatología, Universidad de la República. Montevideo, Uruguay. Correo electrónico: [email protected] ORCID: 0000-0002-8364-5183La neuroartropatia de Charcot es una complicación devastadora para los pacientes diabéticos, generando deformidades osteoarticulares con riesgo de ulceración, infección y amputación de miembros inferiores. El objetivo fue analizar en una población de pacientes diabéticos con secuela de neuroartropatía de Charcot, el motivo de re consulta y los tratamientos a los que fueron sometidos. El mismo se realizó en forma retrospectiva mediante observación de historias clínicas y estudios radiológicos de 22 pacientes tratados entre 2014 y 2018 en el Hospital Policial de Montevideo - Uruguay, con un tiempo de evolución mínimo de un año al momento de la revisión. Se contó con la aprobación del Comité de Ética de dicho hospital habiéndose completado un formulario con datos demográficos, tratamiento inicial, causas de las re consultas y tratamientos secundarios. Si bien al inicio de la enfermedad se siguieron los protocolos de tratamiento con alto nivel de recomendación, se observaron en las re consultas elevados porcentajes de re ulceración y necesidad de cirugías complementarias (59%). Se vinculan los resultados a la falta de categorización de paciente de riesgo para lograr seguimiento y captación precoz. El categorizar al paciente de riesgo permite establecer estrategias de educación y de tratamientos tendientes a disminuir porcentajes de nuevas lesiones que lleven a la necesidad de tratamientos secundarios o amputaciones.One of the most devastating complications within diabetic patients is Diabetic Charcot neuroarthropathy. It can lead to osteoarticular deformities, with risk of ulceration, infection or even lower limb amputation. In this paper, a population of diabetic patients with Charcot neuroarthropathy sequelae was studied. Data was analyzed on the reasons for the patients re consultation, the treatments they were subjected to and the obtained results. The study was conducted retrospectively by the examination of medical records from 22 patients that were treated between 2014 and 2018, with a follow-up of at least a year, at the Hospital Policial in Montevideo, Uruguay. Furthermore, it had the hospital’s Ethics Committee approval. The data analysis was conducted by the completion of a form including demographic data, initial treatment, reasons for re consultation and secondary treatments. According to the findings, even though highly recommended protocols were followed at the onset of the disease, high percentage of ulceration and complementary surgeries were observed (59%) within the patient’s data. The results are linked to the lack of risk patient´s categorization in order to achieve early uptake. Categorizing the patient at risk makes it possible to establish health education and treatment strategies aimed at reducing percentages of new injuries that lead to the need for secondary treatments or amputations.A neuroartropatia de Charcot é uma complicação devastadora para os pacientes com diabetes, gerando deformidades osteoarticulares residuais com risco de úlceras, infecção e amputação maior dos membros inferiores. O objetivo foi analisar em uma população de pacientes diabéticos com sequelas da neuroartropatia de Charcot, o motivo da nova consulta e os tratamentos a que foram submetidos, bem como os resultados obtidos. Foi realizado retrospectivamente por meio de observação de histórias clinicas e estudos radiológicos de 22 pacientes atendidos no periodo de 2014 a 2018 no Hospital da Polícia de Montevidéu - Uruguai, com tempo de evolução mínimo de um ano na época da revisão. Foi aprovado pelo Comité de Ética do referido hospital, tendo sido preenchido um formulário com dados demográficos, tratamento inicial, causas das novas consultas e tratamentos secundários. Embora protocolos de tratamento com alto nível de recomendação tenham sido seguidos no início da doença, elevados percentuais de re ulcerações e cirurgias complementares (59%) foram observados nas novas consultas. Os resultados estão ligados à falta de categorização dos pacientes de risco para obter captação precoces. A categorização do paciente de risco permite estabelecer estratégias de educação e tratamento com o objetivo de reduzir os percentuais de novas lesões que levam à necessidade de tratamentos secundários ou amputações

    Discontinuous local semiflows for Kurzweil equations leading to LaSalle`s invariance principle for differential systems with impulses at variable times

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    In this paper, we consider an initial value problem for a class of generalized ODEs, also known as Kurzweil equations, and we prove the existence of a local semidynamical system there. Under certain perturbation conditions, we also show that this class of generalized ODEs admits a discontinuous semiflow which we shall refer to as an impulsive semidynamical system. As a consequence, we obtain LaSalle`s invariance principle for such a class of generalized ODEs. Due to the importance of LaSalle`s invariance principle in studying stability of differential systems, we include an application to autonomous ordinary differential systems with impulse action at variable times. (C) 2011 Elsevier Inc. All rights reserved.FAPESP[2008/04159-6]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP[2008/03680-4]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP[2008/02879-1]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq[304646/2008-3

    Extension of the LaSalle\'s invariance principle for periodic systems and fuzzy systems

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    O princípio de invariância de LaSalle estuda o comportamento assintótico das soluções sem conhecer as soluções das equações diferenciais.Para isto,utiliza uma função auxiliar V usualmente chamada de função de Lyapunov. Este trabalho apresenta um princípio de invariância fuzzy e sua versão global para a classe de sistemas dinâmicos fuzzy descrito, via extensão de Zadeh,por equações diferenciais autônomas com incertezas na condição inicial.Ainda, apresentamos um princípio de invariância uniforme, no qual não se exige que a derivada da função de Lyapunov seja sempre definida negativa, para a classe de sistemas dinâmicos não lineares não autônomos que são descritos por um conjunto de equações diferenciais ordinárias periódicas. Aplicações para as duas classes de sistemas foram desenvolvidas.The LaSalle\'s invariance principle studies the asymptotic behavior of the solutions without requiring the knowledge of the solutions of differential equations. For this, it uses an auxiliary function V usually called Lyapunov function. This work proposes a fuzzy invariance principle and its global version for the class of fuzzy dynamic systems described, via Zadeh\'s extension, by autonomous ordinary differential equation with uncertainties in the initial condition. Moreover, we develop an uniform invariance principle, in which the derivative of the Lyapunov function is not required to be always negative definite, for the class of non autonomous non linear dynamical system described by a set of periodic ordinary differential equations. Applications for the two classes of systems are also developed

    Almost sure exponential stability of numerical solutions for stochastic delay differential equations

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    Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (SDDEs). The important feature of this technique is that it enables us to study the almost sure exponential stability of numerical solutions of SDDEs directly. This is significantly different from most traditional methods by which the almost sure exponential stability is derived from the moment stability by the Chebyshev inequality and the Borel–Cantelli lemma

    Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

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    By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure exponential stability of the exact solution. Moreover, for sufficiently small stepsize, the decay rate as measured by the Lyapunov exponent can be reproduced arbitrarily accurately

    Diffusive author(s), cohesive author: Analysis of S/N (1994)

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    This study indicates the ways in which various aspects of the author(s) are brought forth in Dumb type’s performance art, the S/N production. Previous research has suggested a non-hierarchical organization of Dumb type and the absence of a “privileged author” in Dumb type’s collaborative work, S/N. However, the results that I have investigated from member’s interviews on the creative process of S/N along with my analysis of the recorded images of S/N, indicate a different aspect of the author(s). First, S/N was created through, so to speak, the collective ideas of the members of Dumb type. Further, S/N has at least nine quotations from previous performances, installations, and printed writings, besides the work-in-progress technique. Explicating one of the “author functions” as given by Michel Foucault, each text has plural subjects of the author. However, it has been revealed from members’ interviews that Teiji Furuhashi had a decision-making role in selecting the members’ ideas within the performance. Since then, S/N has had plural subjects of creation; however, Furuhashi is one of the subjects of creation along with the “privileged author.” S/N has plural authors (diffusive authors) yet at the same time, it has a “privileged author,” Teiji Furuhashi (cohesive author)
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