Delay-dependent stability criteria for LTI systems with multiple time delays

2009 ◽  
Author(s):  
Shaobu Wang ◽  
Quanyuan Jiang ◽  
Yiqun Miao
Keyword(s):  
Time Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Multiple Time Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

Delay-Dependent Absolute Stability Analysis of Lurie Control System with Multiple Delays

2013 ◽  
Vol 631-632 ◽  
pp. 1195-1200
Author(s):  
Yu Bai ◽  
Zhao Di Xu ◽  
Chao Deng ◽  
Chang Liu
Keyword(s):  
Control System ◽  
Time Delays ◽  
Multiple Delays ◽  
Multiple Time ◽  
Stability Criteria ◽  
Multiple Time Delays ◽  
Integral Equality ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper investigates the stability problem for Lurie control system with multiple delays. The system with multiple time-delays is transformed, then the delay divided into several segments, a novel Lyapunov functional is introduced and some new delay-dependent stability criteria are derived by employed integral-equality technique. It is theoretically proved that the obtained criteria are less conservative than some existing ones. An example is given to illustrate the effectiveness of the proposed results.

Delay-Dependent Stability Control for Power System With Multiple Time-Delays

2016 ◽  
Vol 31 (3) ◽  
pp. 2316-2326 ◽  
Author(s):  
Jian Li ◽  
Zhaohui Chen ◽  
Dongsheng Cai ◽  
Wei Zhen ◽  
Qi Huang
Keyword(s):  
Power System ◽  
Time Delays ◽  
Stability Control ◽  
Multiple Time ◽  
Multiple Time Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

Discrete-Delay-Independent and Discrete-Delay-Dependent Criteria for a Class of Neutral Systems

2003 ◽  
Vol 125 (1) ◽  
pp. 33-41 ◽  
Author(s):  
Chang-Hua Lien ◽  
Jenq-Der Chen
Keyword(s):  
Time Delays ◽  
Linear Matrix ◽  
Multiple Time ◽  
Matrix Inequality ◽  
Stability Criteria ◽  
Discrete Delay ◽  
Neutral Systems ◽  
Numerical Examples ◽  
Multiple Time Delays ◽  
Delay Dependent

In this paper, the asymptotic stability for a class of neutral systems with discrete and distributed multiple time delays is considered. Discrete-delay-independent and discrete-delay-dependent criteria are proposed to guarantee stability for such systems. The resulting stability criteria are written in the form of spectral radius and linear matrix inequality (LMI). Some numerical examples are given to illustrate that our obtained results are less conservative.

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