Delay-dependent stability of neutral systems with time-varying delays using delay-decomposition approach

Exponential stability criterion for interval neural networks with discrete and distributed delays

“…The interval neural networks (22) or (2) is exponential stable, if there exist a positive diagonal matrix P ¼ diagðp 1 ; p 2 ; . .…”

Novel delay-dependent robust stability criteria for neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays

“…The problem of exponential stability for uncertain neutral switched systems with nonlinear perturbations has been studied in [37]. In order to improve further the feasible region of stability criteria, many effective methods have been developed, such as slack matrices or free-weighting matrices [2,12], reciprocally convex [5], delay-partitioning [1,14], state matrix decomposition [17], model transformation [27], a multiple integral inequality [7,23].…”

A further note on stability criteria for uncertain neutral systems with mixed delays

“…It is well known that the existence of time delay in a dynamical system often leads to the deterioration of system stability and performance. The stability criteria obtained in the literature can be divided into two categories: delay-independent [1][2][3][4][5][6][7][8][9][10][11][12][13] and delay-dependent criteria [14][15][16][17][18][19][20][21][22][23]. The delay-dependent results are less conservative than the delay-independent ones for taking advantage of additional information of the time delay.…”

“…Recently, the stability issue of neutral time-delay systems has been attracted many attentions and some valuable results are reported in [1][2][3][4][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] and references therein. The practical examples of neutral delay-differential systems are found in the distributed networks containing lossless transmission lines [24], lossless transmission lines, partial element equivalent circuit [25] and population ecology [26], whose model is the time-delay systems of the neutral type and the delays are in both its state and the derivatives of the * Tel.…”

“…By utilizing the Lyapunov-Krasovkii functional and combining with the linear matrix inequality (LMI) approach, the global exponential stability of neutraltype impulsive neural networks is discussed in [17]. A new delay-dependent stability condition is derived in terms of linear matrix inequality to ensure a large upper bound of the time-delay by non-uniformly dividing the delay interval into multiple segments in [19]. By constructing an augmented Lyapunov-Krasovskii functional, some new delay-dependent criteria for an uncertain neutral system with mixed timevarying delays can be established in terms of linear matrix inequalities in [20].…”