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

Abstract

This study examines the problem of robust stability analysis of neutral-type time-varying uncertain Lurie nonlinear control system with mixed time delays. Firstly, by discretizing the time-delay interval into non-uniformly multiple subintervals and decomposing the corresponding integral intervals to estimate the bounds of integral terms more exactly, less conservative stability criteria are derived. Secondly, based on the above delay-partitioning method, a newly augmented Lyapunov-Krasovkii functional is constructed. Thirdly, by taking full advantage of Wirtinger's integral inequality, which can provide tighter upper bound than Jensen's inequality, novel delay-dependent robust stability conditions are obtained in terms of linear matrix inequalities. Finally, several numerical examples are presented to illustrate the effectiveness and advantages of the theoretical results.

Stochastically exponential synchronization for Markov jump neural networks with time-varying delays via event-triggered control scheme

“…Thus we can say that an important issue mentioned in Remark 2.1 has been tackled. Moreover, by comparing (16) and the RCCI in [62] we can easily find that Lemma 2.3 has more flexibility than that in [62] due to the existence of the free matrices Y i . Besides, we clearly see that the RCCI in Lemma 2.3 encompasses both merits of those in [62] and [63][64][65], simultaneously.…”

“…Neural Networks (NNs) have attracted great attention in recent decades owing to their extensive application in many different fields, such as optimization and signal processing [1][2][3][4][5], pattern recognition [6][7][8][9][10], parallel computing [11][12][13][14][15], and so forth. In the implementation of such applications, the phenomenon of time-varying delays (TDs) is inevitably encountered due to the inherent communication time among neurons, the finite switching speed of the amplifier [16][17][18][19], and other reasons. Furthermore, the structure and parameters of NNs are often subject to random abrupt variations caused by the external environment sudden change, the information latching [20], and so on.…”