Delay-dependent robust stability of uncertain nonlinear systems with time delay

2004 ◽  
Vol 154 (1) ◽  
pp. 289-297 ◽  
Author(s):  
Jinde Cao ◽  
Jun Wang
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Robust Stability ◽  
Uncertain Nonlinear Systems ◽  
Delay Dependent

Delay-Dependent Robust Stability Analysis for Uncertain Nonlinear Systems

2012 ◽  
Vol 591-593 ◽  
pp. 577-579
Author(s):  
Jing Song ◽  
Kun Qiu
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Nonlinear Systems ◽  
Riccati Equation ◽  
Robust Stability ◽  
Algebraic Riccati Equation ◽  
Delay Systems ◽  
Uncertain Nonlinear Systems ◽  
Robust Stability Analysis ◽  
High Level

As a popular topic, robust stability for uncertain systems with time delay have been widely studied in various engineering, biological, economical, electronic and dynamical systems, nerve network and so on. Recently, many researchers have paid a lot of attentions on the problem of robust stability for uncertain nonlinear systems with time delay. In this paper, a type of uncertain nonlinear delay systems has been considered in robust stability analysis. A novel robust stability criterion of the system is derived by using Lyapunov method and quadratic stability theory. A new upper bound with high-level infinite small on time delay based on Hariwity matrix and a solvable algebraic Riccati equation is presented. The main results are as follows: Through Lyapunov function and a solvable algebraic Riccati equation, we obtain the criterion of robust stability (exponential stability) for uncertain nonlinear systems with time delay.

Delay-Dependent Robust Stability Analysis for Time-Delay T–S Fuzzy Systems with Nonlinear Local Models

2013 ◽  
Vol 24 (1-2) ◽  
pp. 11-21 ◽  
Author(s):  
Luis Felipe da Cruz Figueredo ◽  
João Yoshiyuki Ishihara ◽  
Geovany Araújo Borges ◽  
Adolfo Bauchspiess
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Robust Stability ◽  
Fuzzy Systems ◽  
Local Models ◽  
Robust Stability Analysis ◽  
Delay Dependent
Sign in / Sign up

Export Citation Format

Share Document