Automatica (Journal of IFAC)
Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
Dynamical systems with multiple time-varying delays: stability and stabilizability
Journal of Optimization Theory and Applications
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Delay-dependent stabilization of linear systems with time-varying state and input delays
Automatica (Journal of IFAC)
Technical communique: Delay-range-dependent stability for systems with time-varying delay
Automatica (Journal of IFAC)
Technical communique: Stability and robust stability for systems with a time-varying delay
Automatica (Journal of IFAC)
Delay-dependent H∞ controller design for linear neutral systems with discrete and distributed delays
International Journal of Systems Science
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
Automatica (Journal of IFAC)
A survey of linear matrix inequality techniques in stability analysis of delay systems
International Journal of Systems Science
Automatica (Journal of IFAC)
Robust stabilisation of uncertain systems with interval time-varying state and input delays
International Journal of Systems Science
Brief paper: New delay-dependent stability criteria for systems with interval delay
Automatica (Journal of IFAC)
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
New results on H∞ filtering for fuzzy time-delay systems
IEEE Transactions on Fuzzy Systems
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Robust delay-dependent stability of polytopic systems with interval time-varying delay
ACC'09 Proceedings of the 2009 conference on American Control Conference
Automatica (Journal of IFAC)
Delay-dependent stability analysis for linear system with time-varying delay: a PAM method
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
New results on delay-dependent robust stability of uncertain time delay systems
International Journal of Systems Science
Automatica (Journal of IFAC)
Technical communique: Reciprocally convex approach to stability of systems with time-varying delays
Automatica (Journal of IFAC)
Peak-to-peak gain minimisation of uncertain discrete-time systems with variable delays
International Journal of Systems, Control and Communications
H∞ uutput tracking control for neutral delay system with nonlinear perturbations
ICIC'11 Proceedings of the 7th international conference on Advanced Intelligent Computing
International Journal of Software Science and Computational Intelligence
Stability criteria for uncertain linear systems with time-varying delay
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Hi-index | 22.16 |
This paper deals with the problem of delay-dependent robust H"~ control for linear time-delay systems with norm-bounded, and possibly time-varying, uncertainty. The time-delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, and no restriction on the derivative of the time-varying delay is needed, which allows the time-delay to be a fast time-varying function. Based on an integral inequality, which is introduced in this paper, and Lyapunov-Krasovskii functional approach, a delay-dependent bounded real lemma (BRL) is first established without using model transformation and bounding techniques on the related cross product terms. Then employing the obtained BRL, a delay-dependent condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescribed H"~ performance level of the closed-loop systems for all admissible uncertainties, is proposed in terms of a linear matrix inequality (LMI). A numerical example is also given to illustrate the effectiveness of the proposed method.