Search results for "Nonlinear system"

showing 10 items of 1446 documents

finite element methods

2017

Two robot patch recovery methods with built-in field equations and boundary conditions superconvergence similarities in standard and mixed finite element methods on the FEM for the Navier-Stokes equations in the domains with corner singularities projections in finite element analysis and application element analysis method and superconvergence quadratic interpolation polynomials in vertices of strongly regular triangulations explicit error bounds for a nonconforming finite element method analysis of the average efficiency of an error estimator on the mesh for difference schemes of higher accuracy for the heat-conduction equation shape design sensitivity formulae approximated by means of a r…

Nonlinear systemMathematical analysisExtrapolationBoundary value problemMixed finite element methodSuperconvergenceGalerkin methodComputer Science::Numerical AnalysisFinite element methodMathematics::Numerical AnalysisMathematicsExtended finite element method
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Non linear relaxation in the presence of an absorbing barrier

1993

Nonlinear systemMathematical analysisRelaxation (physics)Molecular physicsMathematics
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Interactive Nonlinear Multiobjective Procedures

2006

An overview of the interactive methods for solving nonlinear multiple criteria decision making problems is given. In interactive methods, the decision maker progressively provides preference information so that the most satisfactory compromise can be found. The basic features of several methods are introduced and some theoretical results are provided. In addition, references to modifications and applications as well as to other methods are indicated.

Nonlinear systemMathematical optimizationComputer scienceCompromisemedia_common.quotation_subjectMultiple criteriaDecision makerMulti-objective optimizationPreferenceNonlinear programmingmedia_common
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Some Methods for Nonlinear Multi-objective Optimization

2001

A general overview of nonlinear multiobjective optimization methods is given. The basic features of several methods are introduced so that an appropriate method could be found for different purposes. The methods are classified according to the role of a decision maker in the solution process. The main emphasis is devoted to interactive methods where the decision maker progressively provides preference information so that the most satisfactory solution can be found.

Nonlinear systemMathematical optimizationComputer scienceMulti-objective optimizationPreferenceNonlinear programming
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Small-gain conditions for stochastic network systems

2013

In this paper, some small-gain conditions are presented for stochastic network systems which can describe many large-scale systems with interconnections, nonlinear behaviors, uncertainties and random disturbances. One subsystem is selected as monitor with the requirement that the gains to other systems are smooth concave functions. The relations of members under the supervise of the monitor are described as bilateral plus multilateral relations of gains. For the deterministic case, the requirement on the monitor can be removed. To demonstrate the power of this result, the small-gain conditions cover interconnected system with two subsystems as a special case. Compared with the existing resu…

Nonlinear systemMathematical optimizationCover (topology)Concave functionControl theoryStochastic processUniform boundednessSpecial caseStability (probability)Power (physics)Mathematics52nd IEEE Conference on Decision and Control
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MAST-2D diffusive model for flood prediction on domains with triangular Delaunay unstructured meshes

2011

Abstract A new methodology for the solution of the 2D diffusive shallow water equations over Delaunay unstructured triangular meshes is presented. Before developing the new algorithm, the following question is addressed: it is worth developing and using a simplified shallow water model, when well established algorithms for the solution of the complete one do exist? The governing Partial Differential Equations are discretized using a procedure similar to the linear conforming Finite Element Galerkin scheme, with a different flux formulation and a special flux treatment that requires Delaunay triangulation but entire solution monotonicity. A simple mesh adjustment is suggested, that attains t…

Nonlinear systemMathematical optimizationDiscretizationDelaunay triangulationCourant–Friedrichs–Lewy conditionshallow waters numerical methods finite element method diffusive model unstructured meshes Delaunay triangulations Voronoi cells unsteady flow backwater effect analytical solutionLinear systemApplied mathematicsGalerkin methodShallow water equationsFinite element methodWater Science and TechnologyMathematics
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Stabilization for a class of nonlinear networked control systems via polynomial fuzzy model approach

2014

This article is concerned with the stabilization problem for nonlinear networked control systems which are represented by polynomial fuzzy models. Two communication features including signal transmission delays and data missing are taken into account in a network environment. To solve the network-induced communication problems, a novel sampled-data fuzzy controller is designed to guarantee that the closed-loop system is asymptotically stable. The stability and stabilization conditions are presented in terms of sum of squares SOS, which can be numerically solved via SOSTOOLS. Finally, a simulation example is provided to demonstrate the feasibility of the proposed method. © 2014 Wiley Periodi…

Nonlinear systemMathematical optimizationPolynomialMultidisciplinaryGeneral Computer ScienceControl theoryControl systemStability theoryExplained sum of squaresStability (learning theory)Fuzzy logicMathematicsComplexity
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The design of sum-of-cisoids channel simulators using the iterative nonlinear least square approximation method

2013

In this paper, we propose the iterative nonlinear least square approximation (INLSA) algorithm as an effective method for the design of sum-of-cisoids (SOC) channel simulators assuming non-isotropic scattering conditions. For the characterization of non-isotropic scattering scenarios, we use the von Mises distribution for describing the distribution of the angles-of-arrival (AOAs). The INLSA method relies partially on numerical optimization techniques. This method determines the SOC model parameters iteratively by minimizing the Frobenius error norm. We evaluate the performance of the INLSA method and compare the results with those obtained for the Riemann sum method (RSM) and the Lp-norm m…

Nonlinear systemMathematical optimizationsymbols.namesakeScatteringIterative methodComputer scienceNorm (mathematics)Riemann sumAutocorrelationvon Mises distributionsymbolsEffective methodAlgorithm2013 International Conference on Advanced Technologies for Communications (ATC 2013)
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Regularity of solutions of nonlinear variational inequalities

1973

Nonlinear systemMathematics (miscellaneous)Mechanical EngineeringVariational inequalityMathematical analysisComplex systemAnalysisMathematicsArchive for Rational Mechanics and Analysis
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On a nonlinear flux-limited equation arising in the transport of morphogens

2012

Abstract Motivated by a mathematical model for the transport of morphogens in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial–boundary value problem associated with a nonlinear flux-limited diffusion system. From a mathematical point of view the problem behaves more as a hyperbolic system than a parabolic one.

Nonlinear systemMathematics - Analysis of PDEsApplied MathematicsMathematical analysisFOS: MathematicsUniquenessHyperbolic systemsAnalysisMathematicsAnalysis of PDEs (math.AP)Journal of Differential Equations
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