Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge--Kutta Methods

2014 ◽  
Vol 52 (1) ◽  
pp. 68-82 ◽  
Author(s):  
Hongjiong Tian ◽  
Quanhong Yu ◽  
Jiaoxun Kuang
Keyword(s):  
Asymptotic Stability ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Neutral Delay ◽  
Runge Kutta ◽  
Delay Differential

scholarly journals The Stability of Two-Step Runge-Kutta Methods for Neutral Delay Integro Differential-Algebraic Equations with Many Delays

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Haiyan Yuan ◽  
Jihong Shen
Keyword(s):  
Asymptotic Stability ◽  
Differential Algebraic Equations ◽  
Asymptotically Stable ◽  
Algebraic Equations ◽  
Neutral Delay ◽  
Runge Kutta ◽  
The Stability

This paper studies the asymptotic stability of the two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations with many delays. It proves that A-stable two-step Runge-Kutta methods are asymptotically stable for neutral delay integro differential-algebraic equations with many delays.

scholarly journals Boundary Criteria for the Stability of Delay Differential-Algebraic Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Leping Sun ◽  
Yuhao Cong
Keyword(s):  
Asymptotic Stability ◽  
Differential Algebraic Equations ◽  
Analytical Function ◽  
Algebraic Equations ◽  
Stability Criteria ◽  
Stability Regions ◽  
The Stability ◽  
Delay Differential

This paper is concerned with the asymptotic stability of delay differential-algebraic equations. Two stability criteria described by evaluating a corresponding harmonic analytical function on the boundary of a certain region are presented. Stability regions are also presented so as to show the method geometrically. Our results are not reported.

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