scholarly journals A Matrix Method for Determining Eigenvalues and Stability of Singular Neutral Delay-Differential Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Jian Ma ◽  
Baodong Zheng ◽  
Chunrui Zhang
Keyword(s):  
Asymptotic Stability ◽  
Linear Operator ◽  
Imaginary Axis ◽  
Matrix Pencil ◽  
Neutral Delay ◽  
Differential Systems ◽  
The Matrix ◽  
Delay Differential Systems ◽  
The Stability ◽  
Delay Differential

The eigenvalues and the stability of a singular neutral differential system with single delay are considered. Firstly, by applying the matrix pencil and the linear operator methods, new algebraic criteria for the imaginary axis eigenvalue are derived. Second, practical checkable criteria for the asymptotic stability are introduced.

scholarly journals Stability of linear neutral delay-differential systems

1988 ◽  
Vol 38 (3) ◽  
pp. 339-344 ◽  
Author(s):  
Li-Ming Li
Keyword(s):  
Differential Inequality ◽  
Sufficient Conditions ◽  
Neutral Delay ◽  
Differential Systems ◽  
Delay Differential Systems ◽  
The Stability ◽  
Delay Differential ◽  
Delay Differential Inequality

Sufficient conditions are obtained for the stability of linear neutral delay-differential systems by using a delay-differential inequality.

scholarly journals Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hai Zhang ◽  
Daiyong Wu ◽  
Jinde Cao ◽  
Hui Zhang
Keyword(s):  
Asymptotic Stability ◽  
Fractional Order ◽  
Sufficient Conditions ◽  
Algebraic Approach ◽  
Differential Systems ◽  
Order Linear ◽  
Delay Differential Systems ◽  
The Stability ◽  
Delay Differential ◽  
Theoretical Results

We investigate the delay-independently asymptotic stability of fractional-order linear singular delay differential systems. Based on the algebraic approach, the sufficient conditions are presented to ensure the asymptotic stability for any delay parameter. By applying the stability criteria, one can avoid solving the roots of transcendental equations. An example is also provided to illustrate the effectiveness and applicability of the theoretical results.

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