Estimates for Exponential Decay of Solutions to One Class of Nonlinear Systems of Neutral Type with Periodic Coefficients
И. И. Матвеева
Abstract
The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.
Topics & Concepts
MathematicsNonlinear systemExponential stabilityExponential decayClass (philosophy)Exponential functionInfinityExponential growthMathematical analysisZero (linguistics)Exponential dichotomyApplied mathematicsDifferential equationPhysicsLinguisticsNuclear physicsComputer sciencePhilosophyQuantum mechanicsArtificial intelligenceadvanced mathematical theoriesStability and Controllability of Differential EquationsDifferential Equations and Numerical Methods