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

Abstract

This paper investigates the problem of robust exponential stability for neutral systems with time-varying delays and nonlinear perturbations. Based on a novel Lyapunov functional approach and linear matrix inequality technique, a new delay-dependent stability condition is derived. Since the model transformation and bounding techniques for cross terms are avoided, the criteria proposed in this paper are less conservative than some previous approaches by using the free-weighting matrices. One numerical example is presented to illustrate the effectiveness of the proposed results.

On Exponential Stability for a Class of Uncertain Neutral Markovian Jump Systems with Mode-Dependent Delays

“…Remark 15. It should be also mentioned that the result obtained in Theorem 10 is delay-range-dependent and decay rate-dependent stability condition for (13), which is less conservative than the previous ones and will be verified in Section 4. Although the large number of introduced free weighting matrices may increase the complexity of computation, utilizing the technique of free weighting matrices would reduce the conservativeness.…”

“…From Tables 5, 6, and 7, we consider = 0, = 0.5, and = 0.9 and obtain the maximum upper bound of delay 2 = 1.5167, 2 = 1.0643, and 2 = 0.7136, respectively, in this paper by setting = 0.1, while the maximum upper bound of delay 2 = 1.2999, 2 = 0.9442, and 2 = 0.5471, respectively, for [44], the maximum upper bound of delay 2 = 1.4008, 2 = 1.0120, and 2 = 0.6438, respectively, for [13]. The results are also given by setting = 0.3, = 0.5, = 0.7, and = 0.9, and it is found that the maximum upper bound of delay in this paper is larger than those in [13,44].…”

“…According to the comparative result, it can be seen that our proposed method is less conservative than those in [13,44].…”

“…It should be noted that the delay-partitioning approach is used in [6][7][8]. Furthermore, when nonlinear perturbations or parameter uncertainties appear in neutral systems, some results on stability analysis have been also presented [12][13][14][15][16][17][18]. Various techniques have been proposed in these papers, for example, model transformation techniques, the improved bounding techniques, and matrix decomposition approaches.…”

New Delay-Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations

“…Recently, many researchers have studied the stability problem for neutral systems with time-varying delays and nonlinear perturbations have appeared [29,31]. Furthermore, the convergence rates are essential for the practical system; then the exponential stability analysis of time delay systems has been favorably approved in the past decades; see, for example, [3,9,10,14,[18][19][20][21][25][26][27][28].…”