Details

Autor(en) / Beteiligte

• Li, Xiaofan
• Fang, Jian‐an
• Li, Huiyuan

Titel

Finite‐time synchronization of memristive neural networks with time‐varying delays via two control methods

Ist Teil von

• Mathematical methods in the applied sciences, 2019-05, Vol.42 (8), p.2746-2760

Ort / Verlag

Freiburg: Wiley Subscription Services, Inc

Erscheinungsjahr

2019

Quelle

Wiley Online Library

Beschreibungen/Notizen

• In this paper, on the basis of the Lyapunov stability theory and finite‐time stability lemma, the finite‐time synchronization problem for memristive neural networks with time‐varying delays is studied by two control methods. First, the discontinuous state‐feedback control rule containing integral part for square sum of the synchronization error and the discontinuous adaptive control rule are designed for realizing synchronization of drive‐response memristive neural networks in finite time, respectively. Then, by using some important inequalities and defining suitable Lyapunov functions, some algebraic sufficient criteria guaranteeing finite‐time synchronization are deduced for drive‐response memristive neural networks in finite time. Furthermore, we give the estimation of the upper bounds of the settling time of finite‐time synchronization. Lastly, the effectiveness of the obtained sufficient criteria guaranteeing finite‐time synchronization is validated by simulation.