Stability of Time-Delay Systems
Stability of Time-Delay Systems
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
Automatica (Journal of IFAC)
A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems
IEEE Transactions on Signal Processing
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems
Automatica (Journal of IFAC)
Delay-dependent stabilization of linear systems with time-varying state and input delays
Automatica (Journal of IFAC)
Delay-dependent robust H∞ control for uncertain systems with a state-delay
Automatica (Journal of IFAC)
Preconditioning approaches related to canonical correlation by use of cyclic form
International Journal of Systems Science
International Journal of Systems Science - Dynamics Analysis of Gene Regulatory Networks
H∞ uutput tracking control for neutral delay system with nonlinear perturbations
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing
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This article concerns the stability and stabilisation of a linear system with both state and input delays. First, the combination of an augmented Lyapunov functional and the free-weighting-matrix technique yields a new delay-independent stability criterion that includes the widely used one as a special case. This criterion is then extended to a new delay-dependent stability criterion by employing an integral inequality. Based on that, a stabilisation approach to design a state feedback controller is presented that requires no parameter tuning, as is needed with some existing methods. Finally, numerical examples illustrate that the method is effective and is an improvement over existing ones.