Search results for "linear system"

showing 10 items of 1558 documents

Numerical methods for a nonlinear impact model: A comparative study with closed-form corrections

2011

A physically based impact model-already known and exploited in the field of sound synthesis-is studied using both analytical tools and numerical simulations. It is shown that the Hamiltonian of a physical system composed of a mass impacting on a wall can be expressed analytically as a function of the mass velocity during contact. Moreover, an efficient and accurate approximation for the mass outbound velocity is presented, which allows to estimate the Hamiltonian at the end of the contact. Analytical results are then compared to numerical simulations obtained by discretizing the system with several numerical methods. It is shown that, for some regions of the parameter space, the trajectorie…

sound synthesis0209 industrial biotechnologyMathematical optimizationnumerical analysisaudio signal processingAcoustics and UltrasonicsDiscretizationComputer sciencePhysical system02 engineering and technologyParameter spaceEnergy conservationsymbols.namesake020901 industrial engineering & automation0202 electrical engineering electronic engineering information engineeringElectrical and Electronic EngineeringComputer simulationSettore INF/01 - Informaticasound synthesis; numerical analysis; audio signal processingNumerical analysisMathematical analysisphysics computing020207 software engineeringimpact modelingimpact soundsEnergy conservationNonlinear systemnumerical simulationsymbolsnonlinear dynamical systemHamiltonian (quantum mechanics)
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Multimode Representation of the Magnetic Field for the Analysis of the Nonlinear Behavior of Solar Activity as a Driver of Space Weather

2022

ISSP UL as the Center of Excellence is supported through the Framework Program for European universities Union Horizon 2020, H2020-WIDESPREAD-01-2016-2017-TeamingPhase2 under Grant Agreement No. 739508, CAMART2 project; Internal Foundation of University of Maryland.

space weatherGeneral MathematicsPhysics::Space Physics:NATURAL SCIENCES [Research Subject Categories]space weather; dynamic systems; multimode representation; solar activity; nonlinear systemComputer Science (miscellaneous)nonlinear systemsolar activityEngineering (miscellaneous)dynamic systemsmultimode representationMathematics
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Stability of stochastic nonlinear systems with state-dependent switching

2013

In this paper, the problem of stability on stochastic systems with state-dependent switching is investigated. To analyze properties of the switched system by means of Itô’s formula and Dynkin’s formula, it is critical to show switching instants being stopping times. When the given active-region set can be replaced by its interior, the local solution of the switched system is constructed by defining a series of stopping times as switching instants, and the criteria on global existence and stability of solution are presented by Lyapunov approach. For the case where the active-region set can not be replaced by its interior, the switched systems do not necessarily have solutions, thereby quasi-…

stochastic systemsStability (learning theory)Mathematical proofnonlinear control systemsSet (abstract data type)State-dependent switching; Stochastic systems; Switched systems; Control and Systems Engineering; Computer Science Applications1707 Computer Vision and Pattern Recognition; Electrical and Electronic EngineeringExponential stabilityControl theoryElectrical and Electronic EngineeringSwitched systemsMathematicsLyapunov methodsStochastic systemsSeries (mathematics)Stochastic processApplied MathematicsComputer Science Applications1707 Computer Vision and Pattern Recognitionstate-dependent switchingstabilityComputer Science ApplicationsNonlinear systemControl and Systems EngineeringState dependentswitched systemscontrol system synthesisState-dependent switching
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A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence

2020

The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.

sub-supersolutionConvectionlcsh:MathematicsGeneral Mathematics010102 general mathematicsMathematics::Analysis of PDEsInterval (mathematics)Robin boundary conditionType (model theory)lcsh:QA1-93901 natural sciencesRobin boundary conditionTerm (time)010101 applied mathematicsNonlinear systemnonlinear elliptic problemSettore MAT/05 - Analisi Matematicapositive solutiongradient dependenceComputer Science (miscellaneous)Applied mathematicsBoundary value problem0101 mathematicsEngineering (miscellaneous)MathematicsMathematics
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Hysteretic Systems Subjected to Delta Correlated Input

1994

The paper deals with the evaluation of the probabilistic response of a single degree of freedom elastic-perfectly plastic system subjected to a delta correlated input process. The probabilistic characterisation of the response is here obtained by considering the accumulated plastic deformations as a compound homogeneous Poisson process independent of the external input. In this case the former can be considered as an external noise acting on the linear system. A closed form solution is also obtained and the analytic expression is compared with the customary Monte-Carlo method.

symbols.namesakeAnalytical expressionsMathematical analysisLinear systemsymbolsProbabilistic logicProcess (computing)Poisson processExternal noiseClosed-form expressionSingle degree of freedomMathematics
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Robust H<inf>∞</inf> control of Markovian jump systems with mixed time delays

2010

In this paper, the problem of stability analysis and control synthesis for Markovian jump linear systems with time delays and norm-bounded uncertainties is studied. The model under consideration consists of different time-invariant discrete, neutral and distributed delays. Delay-dependent sufficient conditions for the design of a mode-dependent delayed state feedback H ∞ control are given in terms of linear matrix inequalities (LMIs). A controller which guarantees stochastic stability and a prescribed level of H ∞ performance for the closed-loop system is then developed. A Lyapunov-Krasovskii functional (LKF) method underlies the control design. A numerical example with simulation results i…

symbols.namesakeExponential stabilityControl theoryRobustness (computer science)Linear systemsymbolsMarkov processState (functional analysis)Robust controlStability (probability)Mathematics49th IEEE Conference on Decision and Control (CDC)
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Non-Stationary Probabilistic Response of Linear Systems Under Non-Gaussian Input

1991

The probabilistic characterization of the response of linear systems subjected to non-normal input requires the evaluation of higher order moments than two. In order to obtain the equations governing these moments, in this paper the extension of the Ito’s differential rule for linear systems excited by non-normal delta correlated processes is presented. As an application the case of the delta correlated compound Poisson input process is treated.

symbols.namesakeGaussianLinear systemsymbolsProbabilistic logicProcess (computing)Order (ring theory)Applied mathematicsExtension (predicate logic)Differential (infinitesimal)Poisson distributionMathematics
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Non Linear Systems Under Complex α-Stable Le´vy White Noise

2003

The problem of predicting the response of linear and nonlinear systems under Levy white noises is examined. A method of analysis is proposed based on the observation that these processes have impulsive character, so that the methods already used for Poisson white noise or normal white noise may be also recast for Levy white noises. Since both the input and output processes have no moments of order two and higher, the response is here evaluated in terms of characteristic function.Copyright © 2003 by ASME

symbols.namesakeNonlinear systemAdditive white Gaussian noiseControl theoryStochastic resonanceGaussian noiseMathematical analysissymbolsBrownian noiseImpulsive characterWhite noisePsychologyPoisson distributionApplied Mechanics and Biomedical Technology
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Sliding mode exponential H<inf>∞</inf> synchronization of Markovian jumping master-slave systems with time-delays and nonlinea…

2011

This paper investigates the problem of exponential H ∞ synchronization for a class of master-slave systems with both discrete and distributed time-delays, norm-bounded nonlinear uncertainties and Markovian switching parameters. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and a synchronization law which include the master-slave parameters are established for designing a delay-dependent mode-dependent sliding mode exponential H ∞ synchronization control law in terms of linear matrix inequalities. The controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. A numerical examp…

symbols.namesakeNonlinear systemControl theorysymbolsMode (statistics)Markov processMaster/slaveSliding mode controlSynchronizationMathematicsExponential functionIEEE Conference on Decision and Control and European Control Conference
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Non-linear systems under parametric alpha-stable LÉVY WHITE NOISES

2005

In this study stochastic analysis of nonlinear dynamical systems under a-stable, multiplicative white noise has been performed. Analysis has been conducted by means of the Ito rule extended to the case of α-stable noises. In this context the order of increments of Levy process has been evaluated and differential equations ruling the evolutions of statistical moments of either parametrically and external dynamical systems have been obtained. The extended Ito rule has also been used to yield the differential equation ruling the evolution of the characteristic function for parametrically excited dynamical systems. The Fourier transform of the characteristic function, namely the probability den…

symbols.namesakeNonlinear systemFourier transformDynamical systems theoryCharacteristic function (probability theory)Stochastic processControl theoryDifferential equationsymbolsProbability density functionWhite noiseStatistical physicsMathematics
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