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R. Samidurai R. Sriraman Jinde Cao Zhengwen Tu 《International Journal of Adaptive Control and Signal Processing》2018,32(9):1294-1312
This paper investigates the global asymptotic stability analysis for a class of complex‐valued neural networks with leakage delay and interval time‐varying delays. Different from previous literature, some sufficient information on a complex‐valued neuron activation function and interval time‐varying delays has been considered into the record. A suitable Lyapunov‐Krasovskii functional with some delay‐dependent terms is constructed. By applying modern integral inequalities, several sufficient conditions are obtained to guarantee the global asymptotic stability of the addressed system model. All the proposed criteria are formulated in the structure of a complex‐valued linear matrix inequalities technique, which can be checked effortlessly by applying the YALMIP toolbox in MATLAB linear matrix inequality. Finally, two numerical examples with simulation results have been provided to demonstrate the efficiency of the proposed method. 相似文献
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Chaouki Aouiti El Abed Assali 《International Journal of Adaptive Control and Signal Processing》2019,33(10):1457-1477
In this paper, without transforming the original inertial neural networks into the first‐order differential equation by some variable substitutions, time‐varying delays are introduced into inertial Cohen‐Grossberg–type networks and the existence, the uniqueness, and the asymptotic stability and synchronisation for the neural networks are investigated. Firstly, the existence of a unique equilibrium point is proved by using nonlinear Lipschitz measure method. Second, by finding a new Lyapunov‐Krasovskii functional, some sufficient conditions are derived to ensure the asymptotic stability, the asymptotic synchronization, and the asymptotic adaptive synchronization. The results of this paper are new and they complete previously known results. We illustrate the effectiveness of the approach through a few examples. 相似文献
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《IEEJ Transactions on Electrical and Electronic Engineering》2017,12(3):428-433
In recent years, applications of neural networks with Clifford algebra have become widespread. Clifford algebra is also referred to as geometric algebra and is useful in dealing with geometric objects. Hopfield neural networks with Clifford algebra, such as complex numbers and quaternions, have been proposed. However, it has been difficult to construct Hopfield neural networks by Clifford algebra with positive part of the signature, such as hyperbolic numbers. Hyperbolic numbers are useful algebra to deal with hyperbolic geometry. Kuroe proposed hyperbolic Hopfield neural networks and provided their continuous activation functions and stability conditions. However, the learning algorithm has not been provided. In this paper, we provide two quantized activation functions and the primitive learning algorithm satisfying the stability condition. We also perform computer simulations and compare the activation functions. © 2016 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. 相似文献
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Meryem Abdelaziz Farouk Chérif 《International Journal of Adaptive Control and Signal Processing》2020,34(8):1120-1134
In this article, we investigate the dynamical behavior of a class of delayed fuzzy Cohen-Grossberg neural networks (FCGNNs) with discontinuous activation functions subject to time delays and fuzzy terms. By using the inequality analysis technique and the M-matrix theory, sufficient and proper conditions are given in order to establish the existence, convergence, and global exponential stability of equilibrium point of the system. In particular, we discuss the impact of discontinuous neuron activations on the existence and exponential stability of equilibrium point for FCGNNs. Two numerical examples are provided to substantiate the theoretical results. 相似文献
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Fang Liu Min Wu Yong He Yicheng Zhou Ryuichi Yokoyama 《IEEJ Transactions on Electrical and Electronic Engineering》2011,6(4):345-352
This article deals with the problem of robust stability for interval neural networks with time‐varying delay. By constructing an appropriate Lyapunov–Krasovskii functional, using the S‐procedure and taking the relationship among the time‐varying delay, its upper bound and their difference into account, some linear matrix inequality(LMI) ‐based delay‐dependent stability criteria are obtained without ignoring any terms in the derivative of the Lyapunov–Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and benefits of the proposed method. © 2011 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. 相似文献
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称重传感器神经网络补偿器设计 总被引:6,自引:0,他引:6
吴忠强 《电子测量与仪器学报》2004,18(1):42-46
为满足快速称重的要求,设计出一种新型的称重传感器神经网络补偿器.仿真表明有效的提高了称重传感器的动态响应性能,有推广应用价值. 相似文献
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Ivanka Stamova Trayan Stamov Xiaodi Li 《International Journal of Adaptive Control and Signal Processing》2014,28(11):1227-1239
In this paper, we study the problem of global exponential stability for impulsive cellular neural networks with time‐varying delays and supremums. Using Young's inequality and Lyapunov‐like functions, new stability criteria are proved. Because supremums and impulses are relevant in various contexts, including problems in the theory of automatic control, our results can be applied in the qualitative investigations of many practical problems of diverse interest. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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张发明 《电子测量与仪器学报》2005,19(3):25-29
利用饱和域的特性,和拟对角列支配矩阵与M-矩阵之间的关系,获得了非对称细胞神经网络(简称CNNS)的稳定平衡点存在的两个充分条件;在此基础上,通过定义一个更高阶的神经网络模型,推广了该网络存在稳定平衡点的结果;通过大量的模拟仿真,提出了非对称细胞神经网络完全稳定的充分条件,并就二细胞神经网络的情况给予了证明;最后,将本文的结果与已取得的结果进行了比较,并给出一个实例说明本文取得的结果优于已有文献取得的结果. 相似文献
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Oscar Barambones Aitor J. Garrido Izaskun Garrido 《International Journal of Adaptive Control and Signal Processing》2008,22(5):440-464
In this paper, a speed estimation and control scheme of an induction motor drive based on an indirect field‐oriented control is presented. On one hand, a rotor speed estimator based on an artificial neural network is proposed, and on the other hand, a control strategy based on the sliding‐mode controller type is proposed. The stability analysis of the presented control scheme under parameter uncertainties and load disturbances is provided using the Lyapunov stability theory. Finally, simulated results show that the presented controller with the proposed observer provides high‐performance dynamic characteristics and that this scheme is robust with respect to plant parameter variations and external load disturbances. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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利用向量比较原理,得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。结果表明,非线性非自治电路的唯一稳态的充分必要条件,可以用一个常数矩阵的Hurwitz条件决定。 相似文献
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In this paper, without assuming the boundedness, monotonicity and differentiability of the activation functions, we present new conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of bidirectional associative memory neural networks with fixed time delays or distributed time delays. The results are applicable to both symmetric and non‐symmetric interconnection matrices, and all continuous non‐monotonic neuron activation functions. Copyright © 2001 John Wiley & Sons, Ltd. 相似文献
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本文基于子网络级故障可诊断基础上提出一种识别大规模容差子网络级故障的新方法。文中首先提出f≤2的交叉撕裂准则和逻辑诊断法。然后,应用Markov区间分析法判断容差子网络是否发生故障。这种诊断方法可用于实际工程网络的故障诊断。 相似文献
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Xiaofeng Liao Juebang Yu Guanrong Chen 《International Journal of Circuit Theory and Applications》2002,30(5):519-546
In this paper, the bidirectional associative memory (BAM) neural network with axonal signal transmission delay is considered. This model is also referred to as a delayed dynamic BAM model. By combining a number of different Lyapunov functionals with the Razumikhin technique, some sufficient conditions for the existence of a unique equilibrium and global asymptotic stability of the network are derived. These results are fairly general and can be easily verified. Besides, the approach for the analysis allows one to consider several different types of activation functions, including piecewise linear sigmoids with bounded activations as well as C1‐smooth sigmoids. It is believed that these results are significant and convenient in the design and applications of BAM neural networks. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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N. Serap Sengr Cem Gknar 《International Journal of Circuit Theory and Applications》2000,28(2):203-207
A new dynamical energy system model representation is given for threshold networks. Inspired by the relation between stability and dissipativeness of dynamical systems, the convergence property of threshold networks is investigated. Using the energy function inherent within the given model a condition, namely the dissipativeness of the dynamical system, necessary and sufficient condition for the convergence of the threshold network to a fixed point, is given. Also, an easy to check inequality is stated to test the convergence of the threshold network. Copyright © 2000 John Wiley & Sons, Ltd. 相似文献
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Ruey‐Shyan Gau Jer‐Guang Hsieh Chang‐Hua Lien 《International Journal of Circuit Theory and Applications》2008,36(4):451-471
The global exponential stability for uncertain delayed bidirectional associative memory neural networks (DBAMNN) with multiple time‐varying delays is considered in this paper. Delay‐dependent criteria are proposed to guarantee the robust stability of DBAMNN via linear matrix inequality approach. Two classes of system uncertainties are investigated in this paper. Some numerical examples are given to illustrate the effectiveness of our results. From the numerical simulations, significant improvement over the recent results can be observed. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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《IEEJ Transactions on Electrical and Electronic Engineering》2017,12(2):269-272
Complex‐valued Hopfield neural networks (CVHNNs) are available for storage of multilevel data, such as gray‐scale images. Such networks have low noise tolerance. This is a severe problem for their applications. To improve the noise tolerance, we have to study pseudomemories. In the case of one training pattern, CVHNNs have only rotated patterns as pseudomemories. There are many rotated patterns. This is considered the reason why CVHNNs have low noise tolerance. In the present paper, we investigate the pseudomemories of two‐dimensional multistate Hopfield neural networks, including the complex‐valued ones, with multiple training patterns. Computer simulations show that there are many pseudomemories other than the rotated patterns. © 2016 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. 相似文献
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《IEEJ Transactions on Electrical and Electronic Engineering》2018,13(2):280-284
In recent years, Hopfield neural networks using Clifford algebra have been studied. Clifford algebra is also referred to as geometric algebra, and is useful to deal with geometric objects. There are three kinds of Clifford algebra with degree 2; complex, hyperbolic, and dual‐numbered. Complex‐valued Hopfield neural networks have been studied by many researchers. Several models of hyperbolic Hopfield neural networks have also been proposed. It has been difficult to construct dual‐numbered Hopfield neural networks. In this work, we propose dual‐numbered Hopfield neural networks by modification of hyperbolic Hopfield neural networks with the split activation function. The stability condition and Hebbian learning rule are also provided. © 2017 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc. 相似文献
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James Lam Shengyuan Xu Daniel W. C. Ho Yun Zou 《International Journal of Circuit Theory and Applications》2012,40(11):1165-1174
This paper deals with the problem of stability analysis for a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. A new and simple sufficient condition guaranteeing the existence, uniqueness and global asymptotic stability of an equilibrium point of such a kind of delayed neural networks is developed by the Lyapunov–Krasovskii method. The condition is expressed in terms of a linear matrix inequality, and thus can be checked easily by recently developed standard algorithms. When the stability condition is applied to the more commonly encountered delayed neural networks, it is shown that our result can be less conservative. Examples are provided to demonstrate the effectiveness of the proposed criteria. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
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Claudio Rosales Carlos Miguel Soria Francisco G. Rossomando 《International Journal of Adaptive Control and Signal Processing》2019,33(1):74-91
In this paper, a novel adaptive PID controller for trajectory‐tracking tasks is proposed. It is implemented in discrete time over a hexacopter, and it takes into consideration the unmanned aerial vehicles (UAVs) nonlinear model. The PID controller is developed following an adaptive neural technique, and its stability is verified by the Lyapunov discrete theory. Besides, the neural identification of the dynamic model of the UAV is presented to backpropagate output errors to adjust PID gains with the purpose of reducing the control errors. The validation of the proposed algorithm is performed through experimental results with a hexacopter. 相似文献