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Stability and stabilisation of Markovian jump systems under fast switching: an averaging approach

Journal of Control and Decision 2023年第4期10卷 572-583页

作者： Guoliang Wang Yande Zhang Yunshuai Ren School of Information and Control Engineering Liaoning Petrochemical UniversityFushunLiaoningPeople’s Republic of China

ABSTRACTThis paper addresses the problems of stability and stabilisation of Markovian jump systems(MJSs) with fast switching. First, a novel model by applying an averaging approach to the fastswitching is proposed. Then, a new method for constructing an auxiliary system is given to makethe stability analysis. It is proved that the stability of the originally fast switching MJS couldbe guaranteed by an MJS with an average switching, if the fast switching achieves its averageapproximation sufficiently fast. Based on the proposed results, some extensions about generally stabilising controllers are considered, where the fault-tolerant situation is involved *** the conditions are presented in terms of LMIs. Finally, two numerical examples are used todemonstrate the effectiveness and superiority of the method.

关键词： Markovian jump systems fast switching averaging approach stability stabilisation linear matrix inequalities(LMIs)

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Determining Potential Passive Islanding Detection Indicators for Single-point Single Inverter,Single-point Multi-inverter and Multi-point Multi-inverter Scenarios

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CSEE Journal of Power and Energy Systems 2022年第3期8卷 696-709页

作者： Nitin Kumar Kulkarni Mohan Khedkar Department of Electrical Engineering Visvesvaraya National Institute of TechnologyNagpurIndia

Distributed Generation(DG)sources,predominantly renewable energy-based,such as solar photovoltaic and wind energy sources,have significantly penetrated into power system *** high penetration of DG sources may lead to the formation of unintentional islands,which is hazardous to both the equipment and personnel,if *** this paper,46 passive parameters are considered to find out which candidate(s)are promising for detecting sustained unintentional islands and avoid false DG *** 46 parameters are derived from point of common coupling(PCC)voltage,DG output current,frequency,power factor angle,active and reactive *** these parameters are tested on standard IEEE 13 and 34 bus distribution networks,integrated with inverter-interfaced DGs at different locations for different penetration levels in the MATLAB/SIMULINK *** parameters are tested for different islanding events(comprising of various local loads,such as conventional parallel RLC resonant load,R,RC,and RL loads)and for different non-islanding *** parameters are then ranked accordingly by a suitable averaging approach based performance ranking *** this analysis,the best candidates are obtained for detecting inverter DG islands at single-point(or single PCC)locations and multi-point(or multiple PCCs)*** best passive candidates are obtained for different island scenarios from which a set of promising islanding detection indicators are proposed.

关键词： averaging approach inverter DG point of common coupling(PCC) passive parameters test system

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Variation in the methods leads to variation in the interpretation of biodiversity-ecosystem multifunctionality relationships

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Journal of Plant Ecology 2020年第4期13卷 431-441页

作者： Xin Jing Case M.Prager Aimée T.Classen Fernando T.Maestre Jin-Sheng He Nathan J.Sanders Rubenstein School of Environment and Natural Resources University of VermontBurlingtonVT 05405USA Gund Institute for Environment University of VermontBurlingtonVT 05405USA Center for Macroecology Evolutionand ClimateNatural History Museum of DenmarkCopenhagenDenmark Departamento de Biología GeologíaFísica y Química InorgánicaEscuela Superior de Ciencias Experimentales y TecnologíaUniversidad Rey Juan CarlosMóstoles 28933Spain Departamento de Ecología and Instituto Multidisciplinar para el Estudio del Medio“Ramon Margalef” Universidad de AlicanteAlicanteSpain Department of Ecology College of Urban and Environmental SciencesPeking UniversityBeijingChina Environmental Program Rubenstein School of Environment and Natural ResourcesUniversity of VermontBurlingtonVT 05405USA Present address:Department of Earth and Environmental Sciences KU LeuvenCelestijnenlaan 200E3001 LeuvenBelgium

Aims Biodiversity is often positively related to the capacity of an ecosystem to provide multiple functions simultaneously(***).However,there is some controversy over whether biodiversity–multifunctionality relationships depend on the number of functions ***,investigators have documented contrasting findings that the effects of biodiversity on ecosystem multifunctionality do not change or increase with the number of ecosystem ***,we provide some clarity on this issue by examining the statistical underpinnings of different multifunctionality *** We used simulations and data from a variety of empirical studies conducted across spatial scales(from local to global)and biomes(temperate and alpine grasslands,forests and drylands).We revisited three methods to quantify multifunctionality including the averaging approach,summing approach and threshold-based *** Findings Biodiversity–multifunctionality relationships either did not change or increased as more functions were *** results were best explained by the statistical underpinnings of the averaging and summing multifunctionality ***,by averaging the individual ecosystem functions,the biodiversity–multifunctionality relationships equal the population mean of biodiversity-single function relationships,and thus will not change with the number of ***,by summing the individual ecosystem functions,the strength of biodiversity–multifunctionality relationships increases as the number of functions *** proposed a scaling standardization method by converting the averaging or summing metrics into a scaling metric,which would make comparisons among different biodiversity *** addition,we showed that the range-relevant standardization can be applied to the threshold-based approach by solving for the mathematical artefact of the approach(*** effects of biodiversity may artificially increase with

关键词： averaging approach biodiversity ecosystem multifunctionality multiple threshold approach plant species richness spatial scale

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