Delay-dependent stability criteria for a class of linear systems with multiple time-varying delays and nonlinear perturbations

2008 ◽  
Author(s):  
Boren Li ◽  
Bugong Xu ◽  
Xuguang Shi
Keyword(s):  
Linear Systems ◽  
Multiple Time ◽  
Time Varying ◽  
Nonlinear Perturbations ◽  
Stability Criteria ◽  
Delay Dependent ◽  
Delay Dependent Stability

New Criterion for Stability of Linear Systems with Interval Time-Varying Delay

2014 ◽  
Vol 651-653 ◽  
pp. 2339-2342
Author(s):  
Ting Ting Wang ◽  
Zhao Di Xu ◽  
Hong Su
Keyword(s):  
Linear Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Time Varying Delay ◽  
Delay Dependent ◽  
New Criterion ◽  
Delay Dependent Stability ◽  
Varying Delay

This paper is concerned with the delay-dependent stability for linear systems. Through constructing a new augmented LKF and using a new integral inequality, the improved delay-dependent stability criteria are derived in terms of linear matrix inequalities, and it is established that the results have less conservativ`e than some existing stability conditions. Finally, numerical examples are given to illustrate the effectiveness of the proposed result.

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