Search results for "Nonlinear systems"

showing 6 items of 26 documents

Einstein-Smoluchowsky equation handled by complex fractional moments

2014

In this paper the response of a non linear half oscillator driven by α-stable white noise in terms of probability density function (PDF) is investigated. The evolution of the PDF of such a system is ruled by the so called Einstein-Smoluchowsky equation involving, in the diffusive term, the Riesz fractional derivative. The solution is obtained by the use of complex fractional moments of the PDF, calculated with the aid of Mellin transform operator. It is shown that solution can be found for various values of stability index α and for any nonlinear function of the drift term in the stochastic differential equation.

Stochastic partial differential equationNonlinear systemStochastic differential equationMellin transformDifferential equationOperator (physics)Mathematical analysisProbability density functiona-stable white noise Nonlinear systems Einstein-Smoluchowsky equation Complex fractional momentsFractional calculusMathematics
researchProduct

Harmonic Balance Method and Stability of Discontinuous Systems

2019

The development of the theory of discontinuous dynamical systems and differential inclusions was not only due to research in the field of abstract mathematics but also a result of studies of particular problems in mechanics. One of first methods, used for the analysis of dynamics in discontinuous mechanical systems, was the harmonic balance method developed in the thirties of the 20th century. In our work the results of analysis obtained by the method of harmonic balance, which is an approximate method, are compared with the results obtained by rigorous mathematical methods and numerical simulation. peerReviewed

advanced machinesdynamics and controladvanced structuresstabilitynonlinear systemsdynaamiset systeemit
researchProduct

Assessment of qualitative judgements for conditional events in expert systems

1991

business.industryComputer scienceConditional events; qualitative probabilities.; linear and nonlinear systems; numerical probabilities; coherenceConditional eventsqualitative probabilitiesExpert elicitationConditional probability distributioncomputer.software_genreMachine learningExpert systemcoherencenumerical probabilitieslinear and nonlinear systemsArtificial intelligencebusinesscomputer
researchProduct

Identification of Replicator Mutator models

2006

The complexity of biology literally calls for quantitative tools in order to support and validate biologists intuition and traditional qualitative descriptions. In this paper, the Replicator-Mutator models for Evolutionary Dynamics are validated/invalidated in a worst-case deterministic setting. These models analyze the DNA and RNA evolution or describe the population dynamics of viruses and bacteria. We identify the Fitness and the Replication Probability parameters of a genetic sequences, subject to a set of stringent constraints to have physical meaning and to guarantee positiveness. The conditional central estimate is determined in order to validate/invalidate the model. The effectivene…

education.field_of_studyTheoretical computer sciencePopulationGenomicsPositive systemsBioinformaticsSet (abstract data type)Identification (information)virus populationsModels of DNA evolutionReplication (statistics)VirusesRNA VirusesEvolutionary dynamicseducationBiomedical systems; Evolutionary dynamics; Nonlinear systems; Positive systems; Uncertain dynamical systems;
researchProduct

Probabilistic characterization of nonlinear systems under parametric Poisson white noise via complex fractional moments

2014

nonlinear systems Poisson white noise fractional moments
researchProduct

On the Stability of the Soft Pendulum With Affine Curvature: Open-Loop, Collocated Closed-Loop, and Switching Control

2022

This letter investigates the stability properties of the soft inverted pendulum with affine curvature - a template model for nonlinear control of underactuated soft robots. We look at how changes in physical parameters affect stability and equilibrium. We give conditions under which zero dynamics corresponding to a collocated choice of the output is (locally or globally) stable or unstable. We leverage these results to design a switching controller that stabilizes a class of nonlinear equilibria of the pendulum, which can drive the system from one equilibrium to another.

soft roboticsControl systemsControl and OptimizationStability criteriaGravityRoboticsEmerging control applicationsSettore ING-INF/04 - AutomaticaPotential energyTorqueControl and Systems EngineeringStability of nonlinear systemsRobotsEmerging control applications stability of nonlinear systems robotics.
researchProduct