Delay-dependent stability analysis of linear system with multiple state delays

2007 ◽  
Author(s):  
Rajeeb Dey ◽  
Sandip Ghosh ◽  
Goshaidas Ray
Keyword(s):  
Stability Analysis ◽  
Linear System ◽  
State Delays ◽  
Multiple State ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Stability Analysis of Uncertain Temperature control system with two additive delays and nonlinear perturbation

2017 ◽  
Vol 13 (10) ◽  
pp. 5927-5934
Author(s):  
Venkatachalam Veeraragavan ◽  
Prabhakaran Duraisamy ◽  
Thirumarimurugan Murugan ◽  
Ramakrishnan Krishnan
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger ◽  
Temperature Control ◽  
Stability Criterion ◽  
Time Derivative ◽  
Temperature Control System ◽  
State Delays ◽  
Delay Dependent ◽  
Time Invariant ◽  
Delay Dependent Stability

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

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