Delay-dependent stability criterion for neutraltime-delay systems

Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

“…Using the Lyapunov-Razumikhin functional approach or the Lyapunov-Krasovskii functional approach several stability criteria have been proposed for delay-independent [11,12] and delay-dependent stability criteria [13][14][15] cases. Since delayindependent conditions are usually more conservative than the delay-dependent conditions, more attention has been paid to the study of delay-dependent conditions.…”

Simple algebraic criteria for stability of neutral delay-differential systems

“…& Remark 2. Note that the condition kCko1 or rðjCjÞo1 is required in most of the existing stability criteria in the literature including those derived in terms of the Lyapunov functional and the LMIs which should be solved by the convex optimization algorithm (see, for example, [11][12][13][14][15][16]). In view of Corollary 2, the condition kCko1 or rðjCjÞo1 may be a strict restriction for application and relatively conservative in comparison with our requirement in Theorem 2, at least for the system with special structure such as CA þ B ¼ 0:…”

“…Via Routh-Hurwitz and Schur-Cohn criteria, Hu et al [10] proposed some algebraic criteria for asymptotic stability to complement the sufficient conditions in [5,7,8]. Using the Lyapunov theory, sufficient conditions (delay-independent or delaydependent) for asymptotic stability of neutral systems have been presented in terms of the LMIs in the literature, such as [11][12][13][14][15][16][17].…”

Robust stability and stabilizing controller design of fuzzy systems with discrete and distributed delays

“…Delay-independent conditions can be applied to systems with any size of time delays, whereas delay-dependent conditions are less conservative. Distributed time-delay counterpart has been given in [3,4,8,21]. Moreover, theory has been extended to fuzzy time-delay systems.…”