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首页> 外文期刊>Mathematical Problems in Engineering >Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller
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Finite-Time Stabilization for Stochastic Inertial Neural Networks with Time-Delay via Nonlinear Delay Controller

机译：具有非线性时滞的时滞随机惯性神经网络的有限时间稳定

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摘要

This paper pays close attention to the problem of finite-time stabilization related to stochastic inertial neural networks with or without time-delay. By establishing proper Lyapunov-Krasovskii functional and making use of matrix inequalities, some sufficient conditions on finite-time stabilization are obtained and the stochastic settling-time function is also estimated. Furthermore, in order to achieve the finite-time stabilization, both delayed and nondelayed nonlinear feedback controllers are designed, respectively, in terms of solutions to a set of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the correction of the theoretical results and the effectiveness of the proposed control design method.
机译：本文密切关注与具有或不具有时间延迟的随机惯性神经网络有关的有限时间稳定问题。通过建立适当的Lyapunov-Krasovskii泛函并利用矩阵不等式，可以获得有限时稳定的一些充分条件，并且还估计了随机建立时间。此外，为了实现有限时间的稳定性，分别针对一组线性矩阵不等式（LMI）的解决方案，分别设计了延迟和非延迟非线性反馈控制器。最后，通过数值例子验证了理论结果的正确性和所提出的控制设计方法的有效性。

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