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Neural network based finite-time stabilization for discrete-time Markov jump nonlinear systems with time delays

机译:基于神经网络的离散时间马尔可夫跳时滞非线性系统的有限时间镇定

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摘要

This paper deals with the finite-time stabilization problem for discrete-time Markov jump nonlinear systems with time delays and norm-bounded exogenous disturbance. The nonlinearities in different jump modes are parameterized by neural networks. Subsequently, a linear difference inclusion state space representation for a class of neural networks is established. Based on this, sufficient conditions are derived in terms of linear matrix inequalities to guarantee stochastic finite-time boundedness and stochastic finite-time stabilization of the closed-loop system. A numerical example is illustrated to verify the efficiency of the proposed technique.
机译:本文研究了具有时滞和范数有界外生扰动的离散时间马尔可夫跳跃非线性系统的有限时间稳定问题。通过神经网络对不同跳跃模式下的非线性进行参数化。随后,建立了一类神经网络的线性差异包含状态空间表示。基于此,就线性矩阵不等式得出了足够的条件,以保证闭环系统的随机有限时间有界性和随机有限时间稳定。数值例子说明了所提出技术的有效性。

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