Quasi‐bipartite synchronisation of multiple inertial signed delayed neural networks under distributed event‐triggered impulsive control strategy

Abstract

The central concern of this paper is to study leader-following quasi-bipartite synchronisation of a multiple inertial signed neural networks with varying time-delay by utilising distributed event-triggered impulsive control scheme, where connections between adjacent nodes of the neural networks either positive or negative. The second-order neural networks, called inertial neural networks, can be transformed into differential equations of first-order by implementing suitable variable substitution. Under certain hypothesis about the node dynamics, signed graph theory and balanced topology of networks, some conditions are derived in terms of lower-dimensional linear matrix inequalities (LMIs) to achieve leader-following quasi-bipartite synchronisation. In addition, a basic algebraic condition is derived to estimate the theoretical upper bound for the error node. Finally, some numerical simulations are provided to illustrate the correctness of the theoretical results.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

Asymptotic stability of non‐instantaneous impulsive systems and T‐S fuzzy non‐instantaneous impulsive control for nonlinear systems

“…For the impulsive control problems, the main advantage is that it is easy to implement with low cost because you only need to control at some discrete points in time. Therefore, impulsive control has been a hot research topic with wide practical application value, see [20][21][22][23][24][25][26][27][28]. Besides, there are series of recent results that allow for the co-existence of both stabilizing and destabilizing jumps simultaneously which undoubtedly reduces the conservatism of control [29][30][31][32][33].…”

Finite‐time synchronization of network systems with linear and nonlinear couplings via quantized intermittent‐adaptive control

“…Note that many existing controllers are continuous, however, discontinuous control techniques are applied more extensively in real world since they only need to transmit less information than continuous control. As a result, impulsive control and intermittent control as two kinds of classical discontinuous control have drawn considerable attention, some results are established such as [18][19][20] and so on. As it is stated in [21,22], impulsive control may be invalid in some cases, but intermittent control is still effective.…”