A sufficient condition for GPN-stability for delay differential equations.
Lucio Torelli (1991)
Numerische Mathematik
Similarity:
Displaying similar documents to “Stability Analysis of One-Step Methods for Neutral Delay-Differential Equations.”
A sufficient condition for GPN-stability for delay differential equations.
Stability analysis of numerical methods for delay differential equations.
M.N. Spijker, K.J. In't Hout (1991)
Numerische Mathematik
Similarity:
P-Stability Properties of Runge-Kutta Methods for Delay Differential Equations.
Marino Zennaro (1986)
Numerische Mathematik
Similarity:
On the stability of Runge-Kutta methods for delay integral equations.
R. Vermiglio (1992)
Numerische Mathematik
Similarity:
Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays
Guang-Da Hu (2018)
Kybernetika
Similarity:
In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i. e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral...
On the Asymptotic Stability of ...-Methods for Delay Differential Equations.
M. Calvo, T. Grande (1989)
Numerische Mathematik
Similarity:
On partial stability for delay systems
C. Corduneanu (1975)
Annales Polonici Mathematici
Similarity:
On delay-dependent robust stability under model transformation of some neutral systems
Salvador A. Rodríguez, Luc Dugard, Jean-Michel Dion, Jesús de León (2009)
Kybernetika
Similarity:
This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust...
Numerical Solution of Delay Differential Equations by Uniform Corrections to an Implicit Runge-Kutta Method.
Marino Zennaro, Alfredo Bellen (1985)
Numerische Mathematik
Similarity:
On delay-dependent stability for neutral delay-differential systems
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
Similarity:
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.