A further refinement of discretized Lyapunov functional method for the stability of time-delay systems

2001 ◽  
Vol 74 (10) ◽  
pp. 967-976 ◽  
Author(s):  
Keqin Gu
Keyword(s):  
Time Delay ◽  
Lyapunov Functional ◽  
Functional Method ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Lyapunov Functional Method ◽  
The Stability

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 New model transformations for the stability analysis of time-delay systems

2018 ◽  
Vol 51 (14) ◽  
pp. 124-129
Author(s):  
Mohammed Safi ◽  
Lucie Baudouin ◽  
Alexandre Seuret
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Delay Systems ◽  
Model Transformations ◽  
Time Delay Systems ◽  
New Model ◽  
The Stability

scholarly journals A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-26
Author(s):  
Baltazar Aguirre-Hernández ◽  
Raúl Villafuerte-Segura ◽  
Alberto Luviano-Juárez ◽  
Carlos Arturo Loredo-Villalobos ◽  
Edgar Cristian Díaz-González
Keyword(s):  
Time Delay ◽  
Dynamical Systems ◽  
Robust Stability ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Complex Dynamical Systems ◽  
The Stability ◽  
Numerical Approaches

This paper presents a brief review on the current applications and perspectives on the stability of complex dynamical systems, with an emphasis on three main classes of systems such as delay-free systems, time-delay systems, and systems with uncertainties in its parameters, which lead to some criteria with necessary and/or sufficient conditions to determine stability and/or stabilization in the domains of frequency and time. Besides, criteria on robust stability and stability of nonlinear time-delay systems are presented, including some numerical approaches.

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