Fault tolerant synchronization for a class of complex interconnected neural networks with delay

Abstract

This paper is concerned with the fault tolerant synchronization problem for a class of complex interconnected neural networks against sensor faults. As sensor faults may lead to performance degradation or even instability of the whole network, fault tolerant control laws are designed to guarantee the controlled synchronization of the complex interconnected neural networks. On the basis of Lyapunov stability theory and adaptive schemes, three kinds of fault tolerant control laws are designed on the basis of linear matrix inequality technique. One is the passive fault tolerant control law, the other two are adaptive fault tolerant control laws. The latter two methods use the adaptive adjusting mechanism of the coupling coefficients to ensure the synchronization of the networks in the presence of sensor faults. Simulation results are given to verify the effectiveness of the proposed methods.

Finite-Time ${H_\infty}$ Fault-Tolerant Synchronization Control for Complex Dynamical Networks With Actuator Faults

“…In finite-time interval, finite-time stability is investigated to address these transient performances of the control system. There are many results on finite time stability for linear system and nonlinear systems [6], [8], [15], [26], [37]- [40]. To the best of our knowledge, complex dynamical networks model receive few research in finite-time H ∞ synchronization with actuator faults.…”

Synchronization in nonlinear complex networks with multiple time‐varying delays via adaptive aperiodically intermittent control

“…For example, Jin et al designed the adaptive pinning controllers to solve the asymptotic synchronization problem in nonlinear complex networks. Many researchers have paid attention to the effect of time delays on stability and synchronization; see other works [29][30][31][32][33] and references therein. 23,24 In the work of Wang et al, 25,26 the nonlinear functions were assumed satisfying the globally Lipschitz continuous condition.…”

“…28 On the other hand, time delay is unavoidable because of the limited transmission speeds and traffic congestion; time delay should be considered when modeling. Many researchers have paid attention to the effect of time delays on stability and synchronization; see other works [29][30][31][32][33] and references therein.…”

Fault‐tolerant saturated control for switching discrete‐time systems with delays

“…The fault estimation problem has stirred renewed research interest, and a variety of fault estimation approaches have been developed in the literature. Even for linear systems, this problem has been an active area of research for many years [15][16][17][18][19][20][21][22][23]. The study of this problem was extended to switching systems (see [24][25][26][27] and the references therein).…”