Finite-time stabilization for delayed quaternion-valued coupled neural networks with saturated impulse. (English) Zbl 1510.93188
Summary: In this paper, finite-time stabilization (FTS) issue of delayed quaternion-valued coupled neural networks (DQVCNNs) with saturated impulse is discussed for the first time. Saturated impulse, time-varying delay and quaternion are first considered into coupled neural networks (CNNs), which makes the model more complex and realistic. Secondly, a hybrid feedback controller is designed, some conditions are derived to stabilize DQVCNNs with saturated impulse in finite time by the idea of polytopic representation and sector nonlinearity model, respectively. Furthermore, this paper shows the settling-time of DQVCNNs with saturated impulse, which discloses it related to both impulse and initial state. Next, this paper also presents several corresponding essential corollaries. Lastly, the feasibility of the derived results is further explained by two examples.
MSC:
| 93C43 | Delay control/observation systems |
| 30G35 | Functions of hypercomplex variables and generalized variables |
| 34H15 | Stabilization of solutions to ordinary differential equations |
| 34K05 | General theory of functional-differential equations |
| 34K45 | Functional-differential equations with impulses |
| 93D40 | Finite-time stability |
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