New Method for Absolute Stability of Delayed Lur'e Systems via Wirtinger-Based Lyapunov Function
- Resource Type
- Conference
- Authors
- Lian, H.-H.; Chen, G.; Xiao, S.-P.; Deng, P.; Zhang, X.-H.
- Source
- 2018 37th Chinese Control Conference (CCC) Control Conference (CCC), 2018 37th Chinese. :1254-1259 Jul, 2018
- Subject
- Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Transportation
Stability criteria
Numerical stability
Delays
Symmetric matrices
Lyapunov methods
Time-varying systems
Absolute stability
Lur'e systems
Time-varying delay
Wirtinger-based Lyapunov functional
Relaxed integral inequality
- Language
- ISSN
- 1934-1768
This paper investigates the problems of absolute stability for Lur'e systems with time-varying delay and sector-bounded nonlinearity. Based on Wirtinger's inequality, a new Lyapunov functional named Wirtinger-based Lyapunov functional is constructed, in which some delay-dependent term and slack matrixes are introduced to refine the function. By using relaxed integral inequality to estimate the derivative of Lyapunov functional, less conservative stability criteria are achieved in terms of linear matrix inequalities (LMIs). The effectiveness and merits of derived conditions are verified by a numerical examples.