Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
H∞ -state-feedback control of linear systems with small state de
Systems & Control Letters
Infinite-horizon differential games of singularly perturbed systems: A unified approach
Automatica (Journal of IFAC)
Brief Delay-dependent robust H∞ control of uncertain linear state-delayed systems
Automatica (Journal of IFAC)
International Journal of Systems Science
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Automatica (Journal of IFAC)
L2-stabilizability conditions for a class of singularly perturbed delayed systems
CA '07 Proceedings of the Ninth IASTED International Conference on Control and Applications
H∞ control for fuzzy singularly perturbed systems
Fuzzy Sets and Systems
H∞ output feedback control design for uncertain fuzzy singularly perturbed systems: an LMI approach
Automatica (Journal of IFAC)
Sliding mode control in the presence of input delay: A singular perturbation approach
Automatica (Journal of IFAC)
Information Sciences: an International Journal
| Hi-index | 22.15 |
A small delay in the feedback loop of a singularly perturbed system may destabilize it; however, without the delay, it is stable for all small enough values of a singular perturbation parameter @e. Sufficient and necessary conditions for preserving stability, for all small enough values of delay and @e, are obtained in two cases: in the case of delay proportional to @e and in the case of independent delay and @e. In the second case, the sufficient conditions are given in terms of an LMI. A delay-dependent LMI criterion for the stability of singularly perturbed differential-difference systems is derived.