Delay-dependent absolute stability criteria for uncertain Lur'e singular systems with time-varying delay

Authors:
Huijiao Wang;Anke Xue
Affiliations:
Institute of Automation, College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University and Institute of Information & Control, Hangzhou Dianzi University, Hangzhou;Institute of Information & Control, Hangzhou Dianzi University, Hangzhou
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 8
Cited 3

A stabilization algorithm for a class of uncertain linear systems

Systems & Control Letters
Singular Control Systems

Singular Control Systems
Stabilization of Nonlinear Uncertain Systems

Stabilization of Nonlinear Uncertain Systems
Stability of Time-Delay Systems

Stability of Time-Delay Systems
Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities

Journal of Computational and Applied Mathematics
Robust stability for delay Lur'e control systems with multiple nonlinearities

Journal of Computational and Applied Mathematics
Absolute stability of third-order systems: A numerical algorithm

Automatica (Journal of IFAC)
Technical communique: Absolute stability of time-delay systems with sector-bounded nonlinearity

Automatica (Journal of IFAC)

H∞ filtering for singular systems with communication delays

Signal Processing
Delay-dependent robust stability criteria for neutral singular systems with time-varying delays and nonlinear perturbations

ACC'09 Proceedings of the 2009 conference on American Control Conference
Stability and passivity analysis for Lur'e singular systems with Markovian switching

International Journal of Automation and Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

The problem of absolute stability for Lur'e singular systems with time-varying delay is presented. Two cases of time-varying delays - one being continuous-uniformly bounded and the other being differentiable-uniformly bounded with the derivative of the delay bounded by a constant are considered. Based on a new integral inequality, which avoids employing both model transformation and bounding technique for cross terms, some delay-dependent absolute stability criteria are obtained and formulated in the form of linear matrix inequalities. Numerical examples are also given to show the effectiveness of the obtained results.