Stability of neutral delay differential equations with applications in a model of human balancing
Alexander Domoshnitsky, Shai Levi, Ron Hay Kappel, Elena Litsyn, Roman Yavich
Abstract
In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.
Topics & Concepts
Stability (learning theory)MathematicsDifferential equationVariable (mathematics)Delay differential equationTerm (time)Applied mathematicsExponential stabilityExponential functionLinear differential equationMathematical analysisObject (grammar)Control theory (sociology)Computer scienceNonlinear systemPhysicsArtificial intelligenceQuantum mechanicsControl (management)Machine learningControl Systems and IdentificationStability and Control of Uncertain SystemsControl Systems in Engineering