Stability Analysis of Neutral Systems with Distributed Delays

Leakage Delays in T–S Fuzzy Cellular Neural Networks

“…Numerical examples will show the effectiveness of the conditions in Theorem 4.1. [31][32][33] consider the inner connection of the neural state, the time delay (including discrete, distributed, leakage), the derivative of the neural state, and the neural activation function, which makes more effective results than previous literature [37,40]. Also, the presented criteria involves derivative information of state and delays, therefore the obtained results in this paper is less conservative than some previous ones which will be proven through numerical examples.…”

“…To provide larger feasible region than the existing stability criterions new ALKFs have been constructed in the [31][32][33] for analyzing time-delay systems. Such a stability criterion provides additional inclusion of states may lead to less conservative results.…”

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

“…Existence of time-delay, in many cases lead a source of instability and poor performance often appear in many dynamic systems, see for example biological systems, chemical systems and electrical networks. Recently fruitful results on stability analysis for delayed dynamic systems have been investigated by several authors, see the related literature [1][2][3][4][5][6][7][8].…”

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.…”