Lyapunov equation for the stability of linear delay systems of retarded and neutral type

2002 ◽  
Vol 47 (2) ◽  
pp. 327-335 ◽  
Author(s):  
P.-A. Bliman
Keyword(s):  
Neutral Type ◽  
Lyapunov Equation ◽  
Delay Systems ◽  
Linear Delay ◽  
The Stability

Robust Stability of Uncertain Switched Delay Systems with Nonlinear Perturbations

2011 ◽  
Vol 228-229 ◽  
pp. 782-788
Author(s):  
Chang Cheng Xiang ◽  
Xiu Liu ◽  
Xiu Yong Ding
Keyword(s):  
Robust Stability ◽  
Delay Differential Equations ◽  
Stability Problem ◽  
Delay Systems ◽  
Nonlinear Perturbations ◽  
Linear Delay ◽  
The Stability ◽  
Delay Differential ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper focuses on the stability problem of a class of uncertain switched delay systems with nonlinear perturbations. Applying multiple functional technique, we establish a delay dependent stability condition via designing appropriate switching rule. It should emphasize that this result is a standard extension of linear delay differential equations. Meanwhile, this result is presented by LMIs and thus solved easily.

On the stability of a class of nonlinear time delay systems

1999 ◽  
Author(s):  
Dan Ivancscu ◽  
Silviu-Iulian Niculcscu ◽  
Jcan-Michcl Dion ◽  
Luc Dugard
Keyword(s):  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
The Stability

scholarly journals On the Notion of Duality for Linear Delay Systems

1998 ◽  
Vol 31 (19) ◽  
pp. 25-30
Author(s):  
H. Mounier ◽  
J. Rudolph
Keyword(s):  
Delay Systems ◽  
Linear Delay
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