Further triple integral approach to mixed-delay-dependent stability of time-delay neutral systems

Improved robust stability criteria for uncertain linear neutral‐type systems via novel Lyapunov‐Krasovskii functional

“…In Table , we calculate the MADUBs h of the linear neutral‐type system for τ d = 0.6 and different μ 1 , μ 2 by using Theorem and methods in () are compared. From the table, it is found that the NoVs of our criteria are bigger than those of the criteria (), however, the MADUBs computed by our criteria are larger.…”

“…Example 1. Consider the linear neutral-type system (1) with the time-varying delays, and the system parameters are described as: In Table 1, we calculate the MADUBs h of the linear neutral-type system (1) for d = 0.6 and different 1 , 2 by using Theorem 1 and methods in [23,24,29,39,40] are compared. From the table, it is found that the NoVs of our criteria are bigger than those of the criteria [23,24,39,40], however, the MADUBs computed by our criteria are larger.…”

“…Therefore, more and more attention is paid to the stability of time-delayed neutral systems. In recent years, the robust stability problem of neutral systems with time delays has been widely studied in [23][24][25][26][27][28][29][30][31][32][33], where many important robust stability criteria are given. However, the main improvement of stability criteria depend on the development of LKF and the update of inequality techniques based on linear systems.…”

“…However, the main improvement of stability criteria depend on the development of LKF and the update of inequality techniques based on linear systems. For example, in (), some less conservative stability criteria than some recent previous ones were derived for neutral‐type systems with time delays via the Wirtinger‐based integral inequalities and extending the convex combination technique; in (), based on multiple integral Lyapunov terms and a new integral inequality technique, less conservative stability criteria were given for neutral‐type systems with time delays, and so on. Recently, C. Zhang () considered the effect of the LKFs while discussing the relationship between the tightness of inequalities and the conservatism of criteria for linear systems.…”

Mixed‐delay‐dependent stability for time‐delay neutral system: an improved dynamic Lyapunov method

“…It is worth noting that though multiple time‐delays are existing in a neutral system, the authors of [10, 11] utilised individual information on each delay to construct the LKFs, which seem to be conservative to some extent. In order to overcome this point, some novel LKF terms were proposed to represent the interconnection between time‐delays [12–14], which was later extended to time‐varying delays [15, 16]. However, the LKF terms in [12–16] are only concerning with the relationship between delays' bounds but not time‐varying delays themselves.…”