Survey on Recent Results in the Stability and Control of Time-Delay Systems*

2003 ◽  
Vol 125 (2) ◽  
pp. 158-165 ◽  
Author(s):  
Keqin Gu ◽  
Silviu-Iulian Niculescu
Keyword(s):  
Time Delay ◽  
Performance Analysis ◽  
Recent Progress ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability And Control ◽  
And Performance ◽  
The Stability ◽  
And Control ◽  
Broad Overview

This paper gives a broad overview of the stability and control of time-delay systems. Emphasis is on the more recent progress and engineering applications. Examples of practical problems, mathematical descriptions, stability and performance analysis, and feedback control are discussed.

Robust stability and control for uncertain neutral time delay systems

2012 ◽  
Vol 85 (4) ◽  
pp. 373-383 ◽  
Author(s):  
R. Sakthivel ◽  
K. Mathiyalagan ◽  
S. Marshal Anthoni
Keyword(s):  
Time Delay ◽  
Robust Stability ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Stability And Control ◽  
And Control

Stability and control of fuzzy time delay systems with unmatched preconditions

2021 ◽  
pp. 1-13
Author(s):  
Yubao Hou ◽  
Jingding Gao
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Fuzzy Model ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
State Variables ◽  
Stability And Control ◽  
And Control ◽  
Fuzzy State

The stability and control of nonlinear time-delay systems of Takagi-Sugeno (T-S) fuzzy model are studied in this paper. The integral inequality of a free weight matrix is chosen to give a less conservative delay-dependent stability criterion in the form of linear matrix inequalities (LMIs). The premise mismatch strategy is applied, it is combined with Finsler lemma, a more flexible design method of fuzzy state feedback controller is proposed. This method does not require the controller and system to share the common premise membership function and the number of rules. The controller design strategy proposed in this paper can effectively solve the control problem of fuzzy systems when the number of state variables is not equal to the number of input variables (r≠c), or mi⁢(x⁢(t))≠hi⁢(x⁢(t)),i=1,2,…,r. Finally, two simulation examples are given to prove the advancement and effectiveness of the proposed theory.

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
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