Dear Editor,This letter deals with the stabilization of Lurie networked control systems with network-induced delays(NID).By constructing a twosided looped Lyapunov functional,a sufficient condition is derived to ensur...Dear Editor,This letter deals with the stabilization of Lurie networked control systems with network-induced delays(NID).By constructing a twosided looped Lyapunov functional,a sufficient condition is derived to ensure the absolute stability of the resultant closed-loop system under a state feedback controller.Then,based on this condition,a cone complementary linearisation(CCL)iterative algorithm is presented to design state feedback controller.It is shown via a numerical example that the proposed method can deliver less conservative results as well as fewer iterations if compared with existing ones.展开更多
This paper deals with the stability of static recurrent neural networks （RNNs） with a time-varying delay. An augmented Lyapunov-Krasovskii functional is employed, in which some useful terms are included. Furthermore...This paper deals with the stability of static recurrent neural networks （RNNs） with a time-varying delay. An augmented Lyapunov-Krasovskii functional is employed, in which some useful terms are included. Furthermore, the relationship among the timevarying delay, its upper bound and their difierence, is taken into account, and novel bounding techniques for 1- τ（t） are employed. As a result, without ignoring any useful term in the derivative of the Lyapunov-Krasovskii functional, the resulting delay-dependent criteria show less conservative than the existing ones. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.展开更多
基金This work was supported by the National Natural Science Foundation of China(62173136)the Natural Science Foundation of Hunan Province(2020JJ2013,2021JJ50047)。
文摘Dear Editor,This letter deals with the stabilization of Lurie networked control systems with network-induced delays(NID).By constructing a twosided looped Lyapunov functional,a sufficient condition is derived to ensure the absolute stability of the resultant closed-loop system under a state feedback controller.Then,based on this condition,a cone complementary linearisation(CCL)iterative algorithm is presented to design state feedback controller.It is shown via a numerical example that the proposed method can deliver less conservative results as well as fewer iterations if compared with existing ones.
基金supported by National Natural Science Foundation of China (No. 60874025)Natural Science Foundation of Hunan Province of China (No. 10JJ6098)
文摘This paper deals with the stability of static recurrent neural networks （RNNs） with a time-varying delay. An augmented Lyapunov-Krasovskii functional is employed, in which some useful terms are included. Furthermore, the relationship among the timevarying delay, its upper bound and their difierence, is taken into account, and novel bounding techniques for 1- τ（t） are employed. As a result, without ignoring any useful term in the derivative of the Lyapunov-Krasovskii functional, the resulting delay-dependent criteria show less conservative than the existing ones. Finally, a numerical example is given to demonstrate the effectiveness of the proposed methods.
