New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity

2009 ◽  
Vol 20 (6) ◽  
pp. 659-672 ◽  
Author(s):  
Xian Liu ◽  
Jinzhi Wang ◽  
Zhisheng Duan ◽  
Lin Huang
Keyword(s):  
Time Delay ◽  
Absolute Stability ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Bounded Nonlinearity

scholarly journals Novel Delay-Decomposing Approaches to Absolute Stability Criteria for Neutral-Type Lur’e Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Liang-Dong Guo ◽  
Sheng-Juan Huang ◽  
Li-Bing Wu
Keyword(s):  
Absolute Stability ◽  
Neutral Type ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequalities ◽  
Stability Criteria ◽  
Lur’E Systems ◽  
Delay Dependent ◽  
Numerical Complexity ◽  
Variation Interval

The problem of absolute stability analysis for neutral-type Lur’e systems with time-varying delays is investigated. Novel delay-decomposing approaches are proposed to divide the variation interval of the delay into three unequal subintervals. Some new augment Lyapunov–Krasovskii functionals (LKFs) are defined on the obtained subintervals. The integral inequality method and the reciprocally convex technique are utilized to deal with the derivative of the LKFs. Several improved delay-dependent criteria are derived in terms of the linear matrix inequalities (LMIs). Compared with some previous criteria, the proposed ones give the results with less conservatism and lower numerical complexity. Two numerical examples are included to illustrate the effectiveness and the improvement of the proposed method.

Absolute Stability Criteria of Lurie-Type Nonlinear Systems With MIMO Bounded Time-Delays

2003 ◽  
Author(s):  
Shuli Guo ◽  
Shaoze Yan ◽  
Shizhu Wen
Keyword(s):  
Time Delay ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Time Delays ◽  
Absolute Stability ◽  
Sufficient Conditions ◽  
Stability Criteria

The time delay of Lurie nonlinear system is systems is estimated in which the origin of the nonlinear systems is absolute stability by using a Liapunov-Razumikhn function. Many sufficient conditions are obtained about absolute stability criteria of nonlinear systems. A example is presented to explain the strange time delay phenomena.

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