scholarly journals Robust Stability and Instability of Uncertain Nonlinear Systems with Uncertainty-dependent Equilibrium

2014 ◽  
Vol 50 (5) ◽  
pp. 387-394
Author(s):  
Takayuki ARAI ◽  
Masaki INOUE ◽  
Jun-Ichi IMURA ◽  
Kenji KASHIMA ◽  
Kazuyuki AIHARA
Keyword(s):  
Nonlinear Systems ◽  
Robust Stability ◽  
Uncertain Nonlinear Systems ◽  
Stability And Instability

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.

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