Finite-time robust passive control for a class of switched reaction-diffusion stochastic complex dynamical networks with coupling delays and impulsive control

Finite-Time Synchronization and Passivity of Multiple Delayed Coupled Neural Networks via Impulsive Control

“…Remark 4: This paper cannot prove that the MDCNNs are finite-time bounded and passive under the impulsive law only based on the proof method in [41]. Compared with [41], the two inequalities (21) and (33) play an important role in dealing with the FTP problem of MDCNNs with impulsive control.…”

“…n . Assumption 2 [41]: For a given positive parameter η and a positive constant T p , the input vector u(t) satisfies…”

“…D. DEFINITIONS Definition 1 [41]: Given a positive parameter η, a matrix F > 0, and three positive constants…”

“…Definition 2 [41]: For a given positive constant T p , the MDCNN (6) with input u(t) ∈ R nN and output y(t) ∈…”

“…However, if the definition of FTP in [24] is used, it is difficult to achieve FTP of CNNs under an impulsive controller. Compared with [24], by exploiting the definition of FTP in [41] and the impulsive control strategy, a sufficient condition is given to ensure the FTP of MDCNNs in this paper.…”