A sufficient condition for GPN-stability for delay differential equations.
Lucio Torelli (1991)
Numerische Mathematik
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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
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P-Stability Properties of Runge-Kutta Methods for Delay Differential Equations.
Marino Zennaro (1986)
Numerische Mathematik
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On the stability of Runge-Kutta methods for delay integral equations.
R. Vermiglio (1992)
Numerische Mathematik
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On the Asymptotic Stability of ...-Methods for Delay Differential Equations.
M. Calvo, T. Grande (1989)
Numerische Mathematik
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On partial stability for delay systems
C. Corduneanu (1975)
Annales Polonici Mathematici
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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
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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
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On delay-dependent stability for neutral delay-differential systems
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
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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.
A Note on B-Stability of Runge-Kutta Methods.
M.N. Spijker, W.H. Hundsdorfer (1980/81)
Numerische Mathematik
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Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation
Larbi Fatmi, Moussadek Remili (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper investigates the stability of the zero solution and uniformly boundedness and uniformly ultimately boundedness of all solutions of a certain vector differential equation of the third order with delay. Using the Lyapunov–Krasovskiĭ functional approach, we obtain a new result on the topic and give an example for the related illustrations.