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Hu, Jianqiang; Liang, Jinling; Karimi, Hamid Reza; Cao, Jinde

Sliding intermittent control for BAM neural networks with delays. (English) Zbl 1470.93133

Abstr. Appl. Anal. 2013, Article ID 615947, 15 p. (2013).
Summary: This paper addresses the exponential stability problem for a class of delayed bidirectional associative memory (BAM) neural networks with delays. A sliding intermittent controller which takes the advantages of the periodically intermittent control idea and the impulsive control scheme is proposed and employed to the delayed BAM system. With the adjustable parameter taking different particular values, such a sliding intermittent control method can comprise several kinds of control schemes as special cases, such as the continuous feedback control, the impulsive control, the periodically intermittent control, and the semi-impulsive control. By using analysis techniques and the Lyapunov function methods, some sufficient criteria are derived for the closed-loop delayed BAM neural networks to be globally exponentially stable. Finally, two illustrative examples are given to show the effectiveness of the proposed control scheme and the obtained theoretical results.

Cited in 3 Documents

MSC:

93D20 Asymptotic stability in control theory
34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
93C23 Control/observation systems governed by functional-differential equations
93E10 Estimation and detection in stochastic control theory
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