• Title/Summary/Keyword: Hopfield

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NEW RESULT CONCERNING MEAN SQUARE EXPONENTIAL STABILITY OF UNCERTAIN STOCHASTIC DELAYED HOPFIELD NEURAL NETWORKS

  • Bai, Chuanzhi
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.725-736
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    • 2011
  • By using the Lyapunov functional method, stochastic analysis, and LMI (linear matrix inequality) approach, the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

Optical Implementation of Bipolar Hopfield Neural Network Model by using EX-NOR Logic Operation (EX-NOR 논리 연산을 이용한 Bipolar Hopfield 신경 회로망 모델의 광학적 실현)

  • 박성철;김은수;양인응;박한규
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.10
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    • pp.1591-1597
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    • 1989
  • Through the matematical alaysis of EX-NOR logic relation between the input vector and the memory matrix, we propose a new method for optical implementation of the bipolar Hopfield neural network model based on the optical vector-matrix multiplier.

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EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR A CLASS OF GENERALIZED HOPFIELD NEURAL NETWORKS WITH TIME-VARYING NEUTRAL DELAYS

  • Yang, Wengui
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.1051-1065
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    • 2012
  • In this paper, the global stability and almost periodicity are investigated for generalized Hopfield neural networks with time-varying neutral delays. Some sufficient conditions are obtained for the existence and globally exponential stability of almost periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper are new and complement previously known results. Finally, an example is given to demonstrate the effectiveness of our results.

VLSI Implementation of Hopfield Neural Network (Hopfield 신령회로망의 VLSI 구현에 관한 연구)

  • 박성범;오재혁;이창호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.11
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    • pp.66-73
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    • 1993
  • This paper presents an analog circuit implementation and experimental resuls of the Hopfield type neural network. The proposed architecture enables the reconfiguration betwewn feedback and feedforward networks and employs new circuit designs for the weight supply and storage, analog multilier, nd current-voltage converter, in order to achieve area efficiency as well as function al versatility. The layout design of the eight-neuron neural network is tested as an associative memory to verify its applicability to real world.

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Performance Evaluation of a Genetic Algorithm-Based Multiuser Detector (유전자 알고리즘 기반 다중사용자 복조기의 성능 평가)

  • 김동호;정희창;김성철;이연우
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.7A
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    • pp.1227-1233
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    • 2001
  • 본 논문에서는 유전자 알고리즘을 기반으로 한 새로운 다중사용자 복조기를 제안하고, 최적(optimum) 다중사용자 복조기의 Hopfield 신경망 다중사용자 복조기를 비교 대상으로 하여 원근문제가 존재하는 환경에서 컴퓨터 시뮬레이션을 통해서 비트오율 성능을 비교하였다. 시뮬레이션 결과, 원근문제에 존재하는 채널환경에서는 본 논문에서 제안한 구조는 상당히 적은 계산량으로 최적의 다중사용자 복조기와 Hopfield 다중사용자 복조기와 근접한 성능을 기대할 수 있었고, 원근문제가 존재하지 않는 경우에서는 Hopfield 신경망구조보다 우월한 성능향상을 얻을 수 있었다.

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Optimal time control of multiple robot using hopfield neural network (홉필드 신경회로망을 이용한 다중 로보트의 최적 시간 제어)

  • 최영길;이홍기;전홍태
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.147-151
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    • 1991
  • In this paper a time-optimal path planning scheme for the multiple robot manipulators will be proposed by using hopfield neural network. The time-optimal path planning, which can allow multiple robot system to perform the demanded tasks with a minimum execution time and collision avoidance, may be of consequence to improve the productivity. But most of the methods proposed till now suffers from a significant computational burden and thus limits the on-line application. One way to avoid such a difficulty is to rearrange the problem as MTSP(Multiple Travelling Salesmen Problem) and then apply the Hopfield network technique, which can allow the parallel computation, to the minimum time problem. This paper proposes an approach for solving the time-optimal path planning of the multiple robots by using Hopfield neural network. The effectiveness of the proposed method is demonstrated by computer simulation.

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Actuator Fault Diagnostic Algorithm based on Hopfield Network

  • Park, Tae-Geon;Ryu, Ji-Su;Hur, Hak-Bom;Ahn, In-Mo;Lee, Kee-Sang
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.3
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    • pp.211-217
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    • 2000
  • A main contribution of this paper is the development of a Hopfield network-based algorithm for the fault diagnosis of the actuators in linear system with uncertainties. An unknown input decoupling approach is introduced to the design of an adaptive observer so that the observer is insensitive to uncertainties. As a result, the output observation error equation does not depend on the effect of uncertainties. Simultaneous energy minimization by the Hopfield network is used to minimize the least mean square of errors of errors of estimates of output variables. The Hopfield network provides an estimate of the gains of the actuators. When the system dynamics changes, identified gains go through a transient period and this period is used to detect faults. The proposed scheme is demonstrated through its application to a simulated second-order system.

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Neural Networks for Optimization Problem with Nonlinear Constraints (비선형제한조건을 갖는 최적화문제 신경회로망)

  • Kang, Min-Je
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.1
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    • pp.1-6
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    • 2002
  • Hopfield introduced the neural network for linear program with linear constraints. In this paper, Hopfield neural network has been generalized to solve the optimization problems including nonlinear constraints. Also, it has been discussed the methods hew to reconcile optimization problem with neural networks and how to implement the circuits.

Hopfield Network for Partitioning of Field of View (FOV 분할을 위한 Hopfield Network)

  • Cha, Young-Youp
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.2
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    • pp.120-125
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    • 2002
  • An optimization approach is used to partition the field of view. A cost function is defined to represent the constraints on the solution, which is then mapped onto a two-dimensional Hopfield neural network for minimization. Each neuron in the network represents a possible match between a field of view and one or multiple objects. Partition is achieved by initializing each neuron that represents a possible match and then allowing the network to settle down into a stable state. The network uses the initial inputs and the compatibility measures between a field of view and one or multiple objects to find a stable state.