Simplified approach to the asymptotical stability of linear systems with interval time-varying delay

Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations

“…A typical example with interval time delay is the networked control system, which has been widely studied in the recent literature (see, e.g., [6,7]). With the development of networked control technology, many efforts have been made to investigate the stability of systems with interval time-varying delay (see [8][9][10][11][12][13][14][15][16][17]). …”

“…Many significant results have been reported in the recent literature [18,1,2,19,6,3,[20][21][22][8][9][10][11]23,24,[12][13][14]5,25,4,[15][16][17]26]. For example, a novel Lyapunov-Krasovskii functional was introduced in [9].…”

Robust fuzzy tracking control for nonlinear networked control systems with integral quadratic constraints

“…Then, the system (26) can be represented as the following T-S fuzzy model with two If-Then rules Rule 1. If x1(t) is M1, theṅ…”

“…Our objective is to force the state of system (26) to follow a desired reference signal to meet the IQC tracking performance and the state x(t) is uniformly globally bounded. The reference model is given by…”

“…Based on a system with an equivalent time-varying input-delay transformed from the tracking error system, Jia et al [24] obtained sufficient conditions for H∞ tracking control of nonlinear NCSs using the freeweighting matrix approach [25] and T-S fuzzy model method. However, the free-weighting matrix method often needs to introduce many slack variables in obtaining LMI conditions and thus leads to a significant increase in the computational demand [26] . Furthermore, some useful information, such as the derivative of the equivalent time-varying inputdelay, was ignored by [24] and other networked control [9,21] or sampled-data control methods [27−29] .…”