“…Therefore, it is of prime importance to consider the delay effects on the stability of neural networks. Up to now, neural networks with various types of delay have been widely investigated by many authors [7,9,11,12,18,24,25,28,33,36,44,45].…”
“…Therefore, it is of prime importance to consider the delay effects on the stability of neural networks. Up to now, neural networks with various types of delay have been widely investigated by many authors [7,9,11,12,18,24,25,28,33,36,44,45].…”
“…Therefore, studying the stability of the neural networks with time delay has important significance in practice. In the past few years, a rich literature has been dedicated to analyse the stability of delayed neural networks [2][3][4][5][6][7][8][9][10][11][12][13][14] and references therein. The existing results can generally be classified into two categories: delay-independent stability conditions and delay-dependent stability conditions.…”
This paper is concerned with the problem of global robust exponential stability analysis for a class of interval cellular neural networks with time delay. By introducing a novel Lyapunov-Krasovslii function combined with the idea of delay fractioning, some delay-dependent conditions are derived in terms of the linear matrix inequality, which guarantee the considered interval delayed cellular neural networks to be globally exponentially stable. Moreover, the conservatism can be notably reduced as the fractioning becomes thinner. Some numerical examples are provided to demonstrate the advantages of the proposed results.
“…In particular, in the electronic implementation of analogue neural networks, time delays occur in the communication and response of neurons owing to the finite switching speed of amplifiers. It is known that time delays in the response of neurons can influence the stability of a network, and some works have proclaimed that time delays in the response of neurons can influence a network creating oscillatory and unstable characteristics [1], [2], [3], [13], [14], [16], [17] and [22]- [25]. Therefore, studying the stability of the neural networks with time-constant delays possess an important significations in practice.…”
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