Search results for " Applied"

showing 10 items of 2189 documents

Macroscopic expressions of molecular adiabatic compressibility of methyl and ethyl caprate under high pressure and high temperature

2014

The molecular compressibility, which is a macroscopic quantity to reveal the microcompressibility by additivity of molecular constitutions, is considered as a fixed value for specific organic liquids. In this study, we introduced two calculated expressions of molecular adiabatic compressibility to demonstrate its pressure and temperature dependency. The first one was developed from Wada’s constant expression based on experimental data of density and sound velocity. Secondly, by introducing the 2D fitting expressions and their partial derivative of pressure and temperature, molecular compressibility dependency was analyzed further, and a 3D fitting expression was obtained from the calculated…

Article SubjectApplied Mathematicslcsh:MathematicsThermodynamicsFunction (mathematics)Analysis; Applied Mathematicslcsh:QA1-939VDP::Mathematics and natural science: 400::Physics: 430::Atomic physics molecular physics: 433Consistency (statistics)Additive functionRange (statistics)CompressibilityPartial derivativeCompressibility factorConstant (mathematics)AnalysisMathematics
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Stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks: A graph approach

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/597502 Open Access This paper is devoted to investigating stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks (CSRDSNs). By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations (SODE) and using Itô formula, we establish some novel stability principles for uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability in mean, and exponential stability in mean of partial variables for…

Article SubjectApplied Mathematicslcsh:MathematicsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411Analysis; Applied Mathematicslcsh:QA1-939Analysis
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State Estimation for Wireless Network Control System with Stochastic Uncertainty and Time Delay Based on Sliding Mode Observer

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/303840 Open Access State estimation problem is considered for a kind of wireless network control system with stochastic uncertainty and time delay. A sliding mode observer is designed for the system under the situation that no missing measurement occurs and system uncertainty happens in a stochastic way. The observer designed for the system can guarantee the system states will be driven onto the sliding surface under control law, and the sliding motion of system states on sliding surface will be stable. By constructing proper Lyapunov-Krasovskii…

Article SubjectApplied Mathematicslcsh:MathematicsVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Analyse: 411Analysis; Applied Mathematicslcsh:QA1-939AnalysisAbstract and Applied Analysis
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Robust adaptive neural backstepping control for a class of nonlinear systems with dynamic uncertainties

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/658671 Open Access This paper is concerned with adaptive neural control of nonlinear strict-feedback systems with nonlinear uncertainties, unmodeled dynamics, and dynamic disturbances. To overcome the difficulty from the unmodeled dynamics, a dynamic signal is introduced. Radical basis function (RBF) neural networks are employed to model the packaged unknown nonlinearities, and then an adaptive neural control approach is developed by using backstepping technique. The proposed controller guarantees semiglobal boundedness of all the signals in the…

Article SubjectArtificial neural networklcsh:MathematicsApplied MathematicsSIGNAL (programming language)Basis functionAnalysis; Applied Mathematicslcsh:QA1-939Class (biology)VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Nonlinear systemControl theoryBacksteppingNeural controlAnalysisMathematics
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Study on the characteristics of electromagnetic noise of axial flux permanent magnet synchronous motor

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/764105 Open Access The normal electromagnetic force distribution in stator system of axial flux permanent magnet synchronous motor (PMSM) has been thoroughly analyzed in this paper. The main composition of force wave causing vibration and noise has been proposed, and at the same time a calculation method of stator natural frequency of axial flux PMSM has been raised. Through this method electromagnetic force wave, natural frequency, vibration response, and electromagnetic noise of a 15 kW axial flux PMSM with 22 poles and 24 slots have been calc…

Article SubjectComputer Science::Systems and Controllcsh:MathematicsApplied MathematicsAnalysis; Applied Mathematicslcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Analysis
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New Results on Passivity Analysis for Uncertain Neural Networks with Time-Varying Delay

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/303575 Open Access The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time-delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov-Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncer…

Article SubjectComputer Science::Systems and Controllcsh:MathematicsApplied MathematicsAnalysis; Applied Mathematicslcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411AnalysisAbstract and Applied Analysis
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Dirichlet Boundary Value Problem for the Second Order Asymptotically Linear System

2016

We consider the second order system x′′=f(x) with the Dirichlet boundary conditions x(0)=0=x(1), where the vector field f∈C1(Rn,Rn) is asymptotically linear and f(0)=0. We provide the existence and multiplicity results using the vector field rotation theory.

Article SubjectDirichlet conditionslcsh:MathematicsApplied Mathematics010102 general mathematicsMathematical analysisMixed boundary conditionDirichlet's energylcsh:QA1-93901 natural sciences010101 applied mathematicssymbols.namesakeDirichlet eigenvalueGeneralized Dirichlet distributionDirichlet's principleDirichlet boundary conditionsymbolsBoundary value problem0101 mathematicsAnalysisMathematicsInternational Journal of Differential Equations
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Switched dynamics with its applications

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/528532

Article SubjectDynamics (music)lcsh:MathematicsApplied MathematicsVDP::Technology: 500::Mechanical engineering: 570Control engineeringAnalysis; Applied Mathematicslcsh:QA1-939AnalysisMathematics
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Methodological advances in brain connectivity

2012

Determining how distinct neurons or brain regions are connected and communicate with each other is a crucial point in neuroscience, as it allows to investigate how the functional integration of specialized neural populations enables the emergence of coherent cognitive and behavioral states. The general concept of brain connectivity encompasses different aspects: structural connectivity is related to the description of anatomical pathways and synaptic connections; functional connectivity investigates statistical dependencies between spatially separated brain regions; effective connectivity refers to models aimed at elucidating driver-response relationships. The study of these different modes…

Article SubjectImmunology and Microbiology (all)Computer scienceModels NeurologicalNeurophysiologyElectroencephalographylcsh:Computer applications to medicine. Medical informaticsMachine learningcomputer.software_genreModels BiologicalBrain mappingGeneral Biochemistry Genetics and Molecular BiologySynchronization (computer science)medicineHumansNeuronsConnectivityBrain MappingComputational modelBiochemistry Genetics and Molecular Biology (all)Quantitative Biology::Neurons and CognitionGeneral Immunology and MicrobiologyArtificial neural networkFunctional integration (neurobiology)medicine.diagnostic_testbusiness.industryModeling and Simulation; Biochemistry Genetics and Molecular Biology (all); Immunology and Microbiology (all); Applied MathematicsApplied MathematicsBrainComputational BiologyMagnetoencephalographyElectroencephalographyGeneral MedicineMagnetoencephalographyEditorialModeling and SimulationMultivariate AnalysisSettore ING-INF/06 - Bioingegneria Elettronica E Informaticalcsh:R858-859.7Transfer entropyArtificial intelligenceNetworksbusinesscomputerSoftware
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On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/348695 Open Access The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallow water system after wave breaking was studied in this paper. The underlying approach is based on a skillfully defined characteristic and a set of newly introduced variables which transform the original system into a Lagrangian semilinear system. It is the transformation, together with the associated properties, that allows for the continuity of the solution beyond collision time to be established, leading to a uniquely global d…

Article SubjectSemigroupComponent (thermodynamics)lcsh:MathematicsApplied MathematicsBreaking waveDissipative operatorAnalysis; Applied Mathematicslcsh:QA1-939CollisionVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Dissipative solitonClassical mechanicsTransformation (function)Dissipative systemAnalysisMathematics
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