On improved delay-range-dependent stability condition for linear systems with time-varying delay via Wirtinger inequality

L2‐gain analysis and fault‐tolerant control for uncertain nonlinear switched system with actuator saturation and time‐varying delay

“…On the other hand, time delay is ubiquitous in most of practical systems in various fields [31,32], which would lead to the poor performance, or even instability of system in the worst case [33]. Therefore, during the past few decades, the problems of control for time-delay systems have gained special considerations, and lots of results have been obtained [34][35][36][37]. In [35], new sufficient conditions guaranteeing the asymptotic stability of the studied system were proposed by constructing a novel Lyapunov-Krasovskii functional, by using some linear matrix inequalities (LMIs) and by designing an appropriate switching signal.…”

“…In [35], new sufficient conditions guaranteeing the asymptotic stability of the studied system were proposed by constructing a novel Lyapunov‐Krasovskii functional, by using some linear matrix inequalities (LMIs) and by designing an appropriate switching signal. For the continuous‐time linear systems with time‐varying delay, [36] studied the problem of delay‐range‐dependent stability analysis by constructing a new and appropriate Lyapunov‐Krasovskii functional. In [37], the time‐delayed anti‐windup problem was addressed for linear input‐delay systems with actuator saturation by using an augmented Lyapunov‐Krasovskii functional, the generalized sector condition and some advanced inequalities.…”

Memory State Feedback Control for Time-Varying Delay Switched Fuzzy Systems

“…Generally, the transmission of information in a system often leads to the occurrence of time delay, such as communication systems and power systems. [46][47][48][49][50][51][52][53][54]. Scholars are keen to study stability for delay systems because delays in systems often lead to system performance degradation and instability.…”