953 resultados para Control-Lyapunov Functions


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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Engenharia Elétrica - FEIS

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Pós-graduação em Engenharia Elétrica - FEIS

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Pós-graduação em Matemática - IBILCE

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Pós-graduação em Engenharia Elétrica - FEIS

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The existing characterization of stability regions was developed under the assumption that limit sets on the stability boundary are exclusively composed of hyperbolic equilibrium points and closed orbits. The characterizations derived in this technical note are a generalization of existing results in the theory of stability regions. A characterization of the stability boundary of general autonomous nonlinear dynamical systems is developed under the assumption that limit sets on the stability boundary are composed of a countable number of disjoint and indecomposable components, which can be equilibrium points, closed orbits, quasi-periodic solutions and even chaotic invariant sets.

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Researchers have engrossed fractional-order modeling because of its ability to capture phenomena that are nearly impossible to describe owing to its long-term memory and inherited properties. Motivated by the research in fractional modeling, a fractional-order prototype for a flexible satellite whose dynamics are governed by fractional differential equations is proposed for the first time. These relations are derived using fractional attitude dynamic description of rigid body simultaneously coupled with the fractional Lagrange equation that governs the vibration of the appendages. Two attitude controls are designed in the presence of the faults and uncertainties of the system. The first is the fractional-order feedback linearization controller, in which the stability of the internal dynamics of the system is proved. The second is the fractional-order sliding mode control, whose asymptotic stability is demonstrated using the quadratic Lyapunov function. Several nonlinear simulations are implemented to analyze the performance of the proposed controllers.

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We consider a polling model with multiple stations, each with Poisson arrivals and a queue of infinite capacity. The service regime is exhaustive and there is Jacksonian feedback of served customers. What is new here is that when the server comes to a station it chooses the service rate and the feedback parameters at random; these remain valid during the whole stay of the server at that station. We give criteria for recurrence, transience and existence of the sth moment of the return time to the empty state for this model. This paper generalizes the model, when only two stations accept arriving jobs, which was considered in [Ann. Appl. Probab. 17 (2007) 1447-1473]. Our results are stated in terms of Lyapunov exponents for random matrices. From the recurrence criteria it can be seen that the polling model with parameter regeneration can exhibit the unusual phenomenon of null recurrence over a thick region of parameter space.

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This paper is devoted to the synchronization of a dynamical system defined by two different coupling versions of two identical piecewise linear bimodal maps. We consider both local and global studies, using different tools as natural transversal Lyapunov exponent, Lyapunov functions, eigenvalues and eigenvectors and numerical simulations. We obtain theoretical results for the existence of synchronization on coupling parameter range. We characterize the synchronization manifold as an attractor and measure the synchronization speed. In one coupling version, we give a necessary and sufficient condition for the synchronization. We study the basins of synchronization and show that, depending upon the type of coupling, they can have very different shapes and are not necessarily constituted by the whole phase space; in some cases, they can be riddled.

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Dissertação para obtenção do grau de Mestre em Engenharia Química e Bioquímica

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The cerebellum floccular complex lobes (FCLs) are housed in the FCL fossa of the periotic complex. There is experimental evidence indicating that the FCLs integrate visual and vestibular information, responsible for the vestibulo-ocular reflex, vestibulo-collic reflex, smooth pursuit and gaze holding. Thus, the behavior of extinct animals has been correlated with FCLs dimension in multiple paleoneuroanatomy studies. Here I analyzed braincase endocasts of a representative sample of Mammalia (48 species) and Aves (59 species) rendered using tomography and image segmentation and tested statistical correlations between the floccular complex volume, ecological and behavioral traits to assess various previously formulated paleobiological speculations. My results demonstrate: 1) there is no significant correlation between relative FCL volume and body mass; 2) there is no significant correlation between relative FCL and optic lobes size in birds; 3) average relative FCL size is larger in diurnal than in nocturnal birds but there is no statistically significant difference in mammals; 4) feeding strategies are related with different FCL size patterns in birds, but not in mammals; 5) locomotion type is not related with relative FCL size in mammals; 6) agility is not significantly correlated with FCL size in mammals. I conclude that, despite the apparent relation between FCL size and ecology in birds, the cerebellum of tetrapods is a highly plastic structure and may be adapted to control different functions across different taxonomic levels. For example, the european mole (Talpa europaea) which is fossorial and practically blind, has a FCL fossae relative size larger than those of bats, which are highly maneuverable. Therefore, variation in FCL size may be better explained by a combination of multiple factors with relation to anatomical and phylogenetic evolutionary constraints.

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Corporate governance is the system by which organisations direct and control their functions and relate to their stakeholders in order to manage their business, achieve their mission and objectives and meet the necessary standards of accountability, integrity and propriety. It is a key element in improving efficiency and accountability as well as enhancing openness and transparency. A significant element of the Governmentâ?Ts programme for health service reform is the strengthening of governance and accountability arrangements across the health system. Read the Report (PDF, 1mb)

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The three peroxisome proliferator-activated receptors (PPARs) isotypes (PPAR alpha, beta/delta and gamma) belong to the nuclear hormone receptor family. During the last decade, they have been identified as anti-inflammatory transcription factors. Part of this regulation antiinflammatory is mediated through negative interference between PPARs and other nuclear factors such as NFkB, AP-1 and C/EBP, which regulate innate as well as adaptative immunity. In addition, the PPARs control the functions of macrophages, B cells and T cells. In this review, we summarise the pathways through which the PPARs control inflammatory responses. We also discuss the potential utilisation of PPAR specific ligands in the treatment of inflammatory diseases, such as inflammatory bowel diseases, atherosclerosis, Parkinson's and Alzheimer's diseases.

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The gap-junction protein connexin36 (Cx36) contributes to control the functions of insulin-producing cells. In this study, we investigated whether the expression of Cx36 is regulated by glucose in insulin-producing cells. Glucose caused a significant reduction of Cx36 in insulin-secreting cell lines and freshly isolated pancreatic rat islets. This decrease appeared at the mRNA and the protein levels in a dose- and time-dependent manner. 2-Deoxyglucose partially reproduced the effect of glucose, whereas glucosamine, 3-O-methyl-D-glucose and leucine were ineffective. Moreover, KCl-induced depolarization of beta-cells had no effect on Cx36 expression, indicating that glucose metabolism and ATP production are not mandatory for glucose-induced Cx36 downregulation. Forskolin mimicked the repression of Cx36 by glucose. Glucose or forskolin effects on Cx36 expression were not suppressed by the L-type Ca(2+)-channel blocker nifedipine but were fully blunted by the cAMP-dependent protein kinase (PKA) inhibitor H89. A 4 kb fragment of the human Cx36 promoter was identified and sequenced. Reporter-gene activity driven by various Cx36 promoter fragments indicated that Cx36 repression requires the presence of a highly conserved cAMP responsive element (CRE). Electrophoretic-mobility-shift assays revealed that, in the presence of a high glucose concentration, the binding activity of the repressor CRE-modulator 1 (CREM-1) is enhanced. Taken together, these data provide evidence that glucose represses the expression of Cx36 through the cAMP-PKA pathway, which activates a member of the CRE binding protein family.