An improved delay-dependent stability criterion for neutral systems with mixed time-delays and nonlinear perturbations

2010 ◽  
Author(s):  
K. Ramakrishnan ◽  
G. Ray
Keyword(s):  
Stability Criterion ◽  
Time Delays ◽  
Nonlinear Perturbations ◽  
Neutral Systems ◽  
Mixed Time Delays ◽  
Delay Dependent ◽  
Delay Dependent Stability

scholarly journals Improved Stabilization Criteria for Neutral Time-Delay Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Lianglin Xiong ◽  
Haiyang Zhang ◽  
Yongkun Li ◽  
Zixin Liu
Keyword(s):  
State Feedback ◽  
Delay Systems ◽  
Neutral Systems ◽  
Feedback Controllers ◽  
Mixed Time Delays ◽  
New Class ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Theoretical Results

This paper addresses the stabilization conditions for neutral systems with mixed time delays. By constructing a novel class of Lyapunov functionals which contains an augmented Lyapunov functional, using a new class of improved Jensen’s like inequalities, two improved delay-dependent stability criteria are firstly established. Next, state feedback controllers are designed according to the stability conditions in different cases. Finally, five numerical examples are provided to demonstrate the theoretical results.

An Improved Delay-Dependent Stability Criterion for Power System with Double Time Delays

2013 ◽  
Vol 448-453 ◽  
pp. 3610-3615
Author(s):  
Yi Lang Jiang ◽  
Tao Jiang ◽  
Hong Jie Jia
Keyword(s):  
Power System ◽  
Stability Criterion ◽  
Time Delays ◽  
Direct Method ◽  
Linear Matrix ◽  
Weighting Matrix ◽  
Double Time ◽  
Delay Dependent ◽  
New Criterion ◽  
Delay Dependent Stability

In this paper, a Direct Method-based delay-dependent stability criterion is presented. Initially, the Lyapunov-Krasovskii functional of power system with double time delays is simplified, then the derivative of Lyapunov-Krasovskii functional along time is converted into the pattern of linear matrix inequality (abbreviated as LMI). During the process of derivative construction, an integral inequality is introduced to magnify the derivative, thus no free-weighting matrix is utilized in the new criterion. It can be proved that the new criterion, in comparison with the former ones with free-weighting matrix, has the same conservativeness and much fewer unknown variables. Finally, the proposed criterions effectiveness is validated by the typical second-order delay system and WSCC-3-generator-9-bus system. Numerical results indicate that the proposed criterion can obtain the same stability margin with the former ones with free-weighting matrix, but the improved criterion can remarkably curtail the calculation time.

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