New delay-dependent robust stability criterion for uncertain neutral systems with time-varying delay and nonlinear uncertainties

Improved exponential stability criteria for uncertain neutral system with nonlinear parameter perturbations

“…When ε = 0, Corollary 2 reduces to an asymptotic stability criterion. From Table 2, it can be seen that the obtained results in our paper are significantly better than those in [18,23]. When ε > 0, the method proposed in [23] cannot be applied to this case because it is only applicable to deal with asymptotic stability.…”

“…Moreover, note that Theorem 1 is not only applicable for 0 h d < 1, but also applicable for h d 1. However, in [21][22][23][24], it is required that the derivative of the discrete delay should be less than 1 (i.e., 0 h d < 1), which implies our criterion is less conservative than the previous approaches [21][22][23][24].…”

“…Various techniques have been proposed by many researchers to derive the delay-dependent stability criteria for these classes of systems, for example, model transformation techniques [19−23] , the improved bounding techniques [18,22] , and matrix decomposition approaches [20,23] . However, the method by model transformation may introduce additional dynamics or require some additional assumptions, which lead to relatively conservative results.…”

“…Meanwhile, the condition is delay-dependent and rate-dependent. A numerical example is provided to show that the exponential stability criteria presented in this paper is less conservative than those given in [18,23].…”

Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturbations

“…In practice, the systems almost contain some uncertainties because it is very difficult to obtain an exact mathematical model due to environment noise, uncertain or slowly varying parameters, etc. Therefore, robust stability analysis for neutral systems with nonlinear perturbations have been widely investigated by many researchers [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Additionally, the parametric uncertainties are assumed to be norm bounded and the delay is assumed to be time-varying and belong to a given interval, which means that the lower and upper bounds of interval time-varying delays are available, see for example [35] and reference therein.…”