A nonconservative LMI condition for stability of switched systems with guaranteed dwell time

Ensuring stability of switched linear systems with a guaranteed dwell time is an important problem in control systems. Several methods have been proposed in the literature to address this problem, but unfortunately they provide sufficient conditions only. This technical note proposes the use of homogeneous polynomial Lyapunov functions in the non-restrictive case where all the subsystems are Hurwitz, showing that a sufficient condition can be provided in terms of an LMI feasibility test by exploiting a key representation of polynomials. Several properties are proved for this condition, in particular that it is also necessary for a sufficiently large degree of these functions. As a result, the proposed condition provides a sequence of upper bounds of the minimum dwell time that approximate it arbitrarily well. Some examples illustrate the proposed approach. © 2012 IEEE.published_or_final_versio

Açúcares solúveis, sacarose sintase e sacarose fosfato sintase durante o desenvolvimento do fruto de café, sob diferentes condições de luz e carga.

Foram abordados nesse trabalho aspectos fisiológicos de carboidratos envolvidos na relação fontedreno, sendo a sacarose o principal carboidrato exportado. Sabendo-se que a sacarose não é utilizada diretamente como substrato para a maioria dos processos envolvidos no crescimento, desenvolvimento e armazenamento, tanto na fonte como no dreno, o destino metabólico da sacarose é mediado pelas enzimas invertases, sacarose sintase e sacarose fosfato sintase. Nesse estudo foram dosadas as enzimas sintase da sacarose (SUSY) e sacarose fosfato sintase (SPS), assim como os teores de açúcares solúveis totais, redutores e sacarose, durante o desenvolvimento do fruto de cafeeiro em diferentes tecidos: polpa, perisperma e endosperma e em diferentes condições de tratamento: controle, onde as plantas foram expostas a pleno sol? com sombrite 50% e com carga do cafeeiro reduzida à 30%. Foi mostrado que, apesar de SUSY e SPS tenderem a ter menor atividade nos tratamentos de sol e menor produção, os teores de açúcares não variaram. Foi observado que as enzimas seguem o mesmo padrão de atividade em todos os tecidos aumentando com a maturação, independente do tratamento

Açúcares solúveis, sacarose sintase e sacarose fosfato sintase durante o desenvolvimento do fruto de café, sob diferentes condições

Foram abordados nesse trabalho aspectos fisiológicos de carboidratos envolvidos na relação fontedreno, sendo a sacarose o principal carboidrato exportado. Sabendose que a sacarose não é utilizada diretamente como substrato para a maioria dos processos envolvidos no crescimento, desenvolvimento e armazenamento, tanto na fonte como no dreno, o destino metabólico da sacarose é mediado pelas enzimas invertases, sacarose sintase e sacarose fosfato sintase. Nesse estudo foram dosadas as enzimas sintase da sacarose (SUSY) e sacarose fosfato sintase (SPS), assim como os teores de açúcares solúveis totais, redutores e sacarose, durante o desenvolvimento do fruto de cafeeiro em diferentes tecidos: polpa, perisperma e endosperma e em diferentes condições de tratamento: controle, onde as plantas foram expostas a pleno sol? com sombrite 50% e com carga do cafeeiro reduzida à 30%. Foi mostrado que, apesar de SUSY e SPS tenderem a ter menor atividade nos tratamentos de sol e menor produção, os teores de açúcares não variaram. Foi observado que as enzimas seguem o mesmo padrão de atividade em todos os tecidos aumentando com a maturação, independente do tratamento

Propagação in vivo e in vitro de Cissus sicyoides, uma planta medicinal.

O estudo da propagação de espécies utilizadas na medicina popular tem sido intensificado nos últimos anos devido ao crescente investimento em pesquisas para a descoberta de novos fármacos e da utilização da fitoterapia como um meio alternativo. O objetivo do trabalho foi a propagação in vivo e in vitro (estabelecimento e multiplicação) de Cissus sicyoides. Plantas mantidas em casa de vegetação forneceram estacas com 10 e 20 cm de comprimento, as quais foram tratadas com 0, 80 ou 160 mg/l de AIB, com ou sem sacarose + ácido bórico, por duas horas. Para o estabelecimento in vitro, após desinfestação, segmentos nodais com 10 mm de comprimento foram inoculados em meio de cultura sólido (MS), com diferentes concentrações de cinetina, BAP e ANA. Para a multiplicação in vitro, segmentos nodais com 10 mm foram inoculados em meio MS, suplementado com diferentes concentrações de BAP e ANA, e ANA e cinetina. Na propagação in vivo as estacas com 10 cm de comprimento apresentaram maior eficiência no enraizamento quando tratadas com 160 mg/l de AIB. In vitro os explantes foram melhor estabelecidos e multiplicados em meio de cultura suplementado com cinetina e ANA, que proporcionaram maior indução de gemas, crescimento em altura e ausência de calos na base das plântulas

Conversion of descriptor representations to state-space form: an extension of the shuffle algorithm

This paper proposes a systematic procedure for the determination of state-space models from an available descriptor representation of a linear dynamic system. The goal is to determine a state equation, a set of algebraic equations and an output equation in terms of the state and input variables. It is shown that standard methods may fail to convert the descriptor representation to state-space form, even for simple electrical circuit models obtained from Kirchoff’s laws and constitutive element equations. A novel procedure to address this problem is then proposed as an extension of the classic shuffle algorithm combined with a singular value decomposition approach. In addition to an illustrative example involving a simple electrical circuit, the proposed method is employed in a case study involving the modeling of three-dimensional RLC networks with a large number of components

Effects of Inhibiting CoQ10 Biosynthesis with 4-nitrobenzoate in Human Fibroblasts

Coenzyme Q10 (CoQ10) is a potent lipophilic antioxidant in cell membranes and a carrier of electrons in the mitochondrial respiratory chain. We previously characterized the effects of varying severities of CoQ10 deficiency on ROS production and mitochondrial bioenergetics in cells harboring genetic defects of CoQ10 biosynthesis. We observed a unimodal distribution of ROS production with CoQ10 deficiency: cells with <20% of CoQ10 and 50–70% of CoQ10 did not generate excess ROS while cells with 30–45% of CoQ10 showed increased ROS production and lipid peroxidation. Because our previous studies were limited to a small number of mutant cell lines with heterogeneous molecular defects, here, we treated 5 control and 2 mildly CoQ10 deficient fibroblasts with varying doses of 4-nitrobenzoate (4-NB), an analog of 4-hydroxybenzoate (4-HB) and inhibitor of 4-para-hydroxybenzoate:polyprenyl transferase (COQ2) to induce a range of CoQ10 deficiencies. Our results support the concept that the degree of CoQ10 deficiency in cells dictates the extent of ATP synthesis defects and ROS production and that 40–50% residual CoQ10 produces maximal oxidative stress and cell death

Treatment of CoQ10 Deficient Fibroblasts with Ubiquinone, CoQ Analogs, and Vitamin C: Time- and Compound-Dependent Effects

Background: Coenzyme Q(10) (CoQ(10)) and its analogs are used therapeutically by virtue of their functions as electron carriers, antioxidant compounds, or both. However, published studies suggest that different ubiquinone analogs may produce divergent effects on oxidative phosphorylation and oxidative stress.Methodology/Principal Findings: To test these concepts, we have evaluated the effects of CoQ(10), coenzyme Q(2) (CoQ(2)), idebenone, and vitamin C on bioenergetics and oxidative stress in human skin fibroblasts with primary CoQ(10) deficiency. A final concentration of 5 mu M of each compound was chosen to approximate the plasma concentration of CoQ(10) of patients treated with oral ubiquinone. CoQ(10) supplementation for one week but not for 24 hours doubled ATP levels and ATP/ADP ratio in CoQ(10) deficient fibroblasts therein normalizing the bioenergetics status of the cells. Other compounds did not affect cellular bioenergetics. In COQ2 mutant fibroblasts, increased superoxide anion production and oxidative stress-induced cell death were normalized by all supplements.Conclusions/Significance: These results indicate that: 1) pharmacokinetics of CoQ(10) in reaching the mitochondrial respiratory chain is delayed; 2) short-tail ubiquinone analogs cannot replace CoQ(10) in the mitochondrial respiratory chain under conditions of CoQ(10) deficiency; and 3) oxidative stress and cell death can be counteracted by administration of lipophilic or hydrophilic antioxidants. The results of our in vitro experiments suggest that primary CoQ(10) deficiencies should be treated with CoQ(10) supplementation but not with short-tail ubiquinone analogs, such as idebenone or CoQ(2). Complementary administration of antioxidants with high bioavailability should be considered if oxidative stress is present

Impaired Nuclear Nrf2 Translocation Undermines the Oxidative Stress Response in Friedreich Ataxia

BACKGROUND: Friedreich ataxia originates from a decrease in mitochondrial frataxin, which causes the death of a subset of neurons. The biochemical hallmarks of the disease include low activity of the iron sulfur cluster-containing proteins (ISP) and impairment of antioxidant defense mechanisms that may play a major role in disease progression. METHODOLOGY/PRINCIPAL FINDINGS: We thus investigated signaling pathways involved in antioxidant defense mechanisms. We showed that cultured fibroblasts from patients with Friedreich ataxia exhibited hypersensitivity to oxidative insults because of an impairment in the Nrf2 signaling pathway, which led to faulty induction of antioxidant enzymes. This impairment originated from previously reported actin remodeling by hydrogen peroxide. CONCLUSIONS/SIGNIFICANCE: Thus, the defective machinery for ISP synthesis by causing mitochondrial iron dysmetabolism increases hydrogen peroxide production that accounts for the increased susceptibility to oxidative stress

Idebenone and Resveratrol Extend Lifespan and Improve Motor Function of HtrA2 Knockout Mice

Heterozygous loss-of-function mutation of the human gene for the mitochondrial protease HtrA2 has been associated with increased risk to develop mitochondrial dysfunction, a process known to contribute to neurodegenerative disorders such as Huntington's disease (HD) and Parkinson's disease (PD). Knockout of HtrA2 in mice also leads to mitochondrial dysfunction and to phenotypes that resemble those found in neurodegenerative disorders and, ultimately, lead to death of animals around postnatal day 30. Here, we show that Idebenone, a synthetic antioxidant of the coenzyme Q family, and Resveratrol, a bioactive compound extracted from grapes, are both able to ameliorate this phenotype. Feeding HtrA2 knockout mice with either compound extends lifespan and delays worsening of the motor phenotype. Experiments conducted in cell culture and on brain tissue of mice revealed that each compound has a different mechanism of action. While Idebenone acts by downregulating the integrated stress response, Resveratrol acts by attenuating apoptosis at the level of Bax. These activities can account for the delay in neuronal degeneration in the striata of these mice and illustrate the potential of these compounds as effective therapeutic approaches against neurodegenerative disorders such as HD or PD