A delay-dependent stability criterion for systems with uncertain time-invariant delays

1999 ◽  
Vol 44 (4) ◽  
pp. 876-877 ◽  
Author(s):  
PooGyeon Park
2017 ◽  
Vol 13 (10) ◽  
pp. 5927-5934
Author(s):  
Venkatachalam Veeraragavan ◽  
Prabhakaran Duraisamy ◽  
Thirumarimurugan Murugan ◽  
Ramakrishnan Krishnan

In this paper, the problem of robust delay-dependent stability criterion is considered for a class of linear continuous time heat exchanger system with constant additive state-delays and bounded nonlinear perturbations using Lyapunov-Krasovskii (LK) functional approach.  In the proposed delay-dependent stability analysis, the time-delays are considered to be time-invariant.  In the proposed delay-dependent stability analysis, a candidate LK functional is considered, and take the time-derivative of the functional is bounded using the Jenson integral inequality.  The proposed stability analysis finally culminates into a stability criterion in LMI framework.  The effectiveness of the proposed stability criterion is illustrated using a network controlled temperature control of heat exchanger system


2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Tiejun Li ◽  
Junkang Tian

This paper is concerned with delay-dependent stability for continuous systems with two additive time-varying delay components. By constructing a new class of Lyapunov functional and using a new convex polyhedron method, a new delay-dependent stability criterion is derived in terms of linear matrix inequalities. The obtained stability criterion is less conservative than some existing ones. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.


2009 ◽  
Vol 39 (5) ◽  
pp. 2133-2137 ◽  
Author(s):  
Yanhong Jiang ◽  
Bin Yang ◽  
Jincheng Wang ◽  
Cheng Shao

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Jun-kang Tian ◽  
Yan-min Liu

This paper is concerned with the delay-dependent stability of systems with distributed time-varying delays. The novelty relies on the use of some new inequalities which are less conservative than some existing inequalities. A less conservative stability criterion is obtained by constructing some new augmented Lyapunov–Krasovskii functionals, which are given in terms of linear matrix inequalities. The effectiveness of the presented criterion is demonstrated by two numerical examples.


2012 ◽  
Vol 461 ◽  
pp. 633-636
Author(s):  
Cheng Wang

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.


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