Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
Journal of Computational and Applied Mathematics
Technical communique: New stability criteria for linear systems with interval time-varying delay
Automatica (Journal of IFAC)
Delay-dependent H∞ control of linear discrete-time systems with an interval-like time-varying delay
International Journal of Systems Science
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International Journal of Systems Science
H∞ filtering of 2-D discrete state-delayed systems
Multidimensional Systems and Signal Processing
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ACC'09 Proceedings of the 2009 conference on American Control Conference
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CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Improved robust H∞control for delay systems with uncertainties
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
IEEE Transactions on Fuzzy Systems
Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations
Journal of Computational and Applied Mathematics
Information Sciences: an International Journal
International Journal of Automation and Computing
Delay-dependent stability criteria for systems with interval time-varying delay
Journal of Control Science and Engineering
Mathematics and Computers in Simulation
International Journal of Software Science and Computational Intelligence
Event-triggered communication and H∞ control co-design for networked control systems
Automatica (Journal of IFAC)
On hold or drop out-of-order packets in networked control systems
Information Sciences: an International Journal
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This paper is concerned with the delay-dependent robust stability problem for uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and no restriction on the derivative of the time-varying delay is needed, which allows the delay to be a fast time-varying function. The uncertainty under consideration is norm-bounded, and possibly time-varying, uncertainty. Based on the Lyapunov-Krasovskii functional approach, a stability criterion is derived by introducing some relaxation matrices that can be used to reduce the conservatism of the criteria. Numerical examples are given to demonstrate effectiveness of the proposed method.