• 제목/요약/키워드: Hopfield neural networks

검색결과 36건 처리시간 0.016초

WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS OF HOPFIELD ARTIFICIAL NEURAL NETWORKS WITH LEAKAGE DELAY TERMS

  • Lee, Hyun Mork
    • 충청수학회지
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    • 제34권3호
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    • pp.221-234
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    • 2021
  • We introduce high-order Hopfield neural networks with Leakage delays. Furthermore, we study the uniqueness and existence of Hopfield artificial neural networks having the weighted pseudo almost periodic forcing terms on finite delay. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

호프필드 신경회로망의 Global Convergence (Global Convergence of the Hopfield Neural Networks)

  • 강민제
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 춘계학술대회 학술발표 논문집
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    • pp.87-91
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    • 2001
  • This paper discusses the influence of input conductance on the convergece of the continuous Hopfield neural networks. The convergence has been analyzed for the input and output nodes of neurons. Also, the characteristics of equilibrium points has been analyzed depending on different values of the input conductance.

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GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS OF HIGH-ORDER HOPFIELD NEURAL NETWORKS WITH DISTRIBUTED DELAYS OF NEUTRAL TYPE

  • Zhao, Lili;Li, Yongkun
    • Journal of applied mathematics & informatics
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    • 제31권3_4호
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    • pp.577-594
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    • 2013
  • In this paper, we study the global stability and the existence of almost periodic solution of high-order Hopfield neural networks with distributed delays of neutral type. Some sufficient conditions are obtained for the existence, uniqueness and global exponential stability of almost periodic solution by employing fixed point theorem and differential inequality techniques. An example is given to show the effectiveness of the proposed method and results.

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

  • Bai, Chuanzhi
    • 대한수학회보
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    • 제48권4호
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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.

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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    • 제30권5_6호
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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.

Hopfield 신경회로망에서 뉴론의 입력단 컨덕턴스 (Input conductance of neuron for Hopfield Neural Networks)

  • 강민재
    • 전기전자학회논문지
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    • 제4권2호
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    • pp.192-201
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    • 2000
  • 이 논문은 연속형 Hopfield 신경회로망에서 뉴론의 입력단에 연결하는 컨덕턴스가 시스템의 안정도에 미치는 영향에 대해 논의 하고자 한다. 이 컨덕턴스는 뉴론의 입력단과 ground사이에 캐패시터와 병렬로 연결되어 있는 데, 시스템의 안정도에 영향을 미치는 것으로 알려져 있으나, 이 것에 대해 알려진 것이 별로 없어, 여기서 그 것에 자세히 논의 한다. 그리고 또한 이 컨덕턴스를 조절하여 시스템의 안정도와 더불어 시스템의 performance를 개선하는 방법에 대해 다룬다.

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계층적 Hopfield 신경 회로망을 이용한 Optical Flow 추정 (Optical Flow Estimation Using the Hierarchical Hopfield Neural Networks)

  • 김문갑;진성일
    • 전자공학회논문지B
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    • 제32B권3호
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    • pp.48-56
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    • 1995
  • This paper presents a method of implementing efficient optical flow estimation for dynamic scene analysis using the hierarchical Hopfield neural networks. Given the two consequent inages, Zhou and Chellappa suggested the Hopfield neural network for computing the optical flow. The major problem of this algorithm is that Zhou and Chellappa's network accompanies self-feedback term, which forces them to check the energy change every iteration and only to accept the case where the lower the energy level is guaranteed. This is not only undesirable but also inefficient in implementing the Hopfield network. The another problem is that this model cannot allow the exact computation of optical flow in the case that the disparities of the moving objects are large. This paper improves the Zhou and Chellapa's problems by modifying the structure of the network to satisfy the convergence condition of the Hopfield model and suggesting the hierarchical algorithm, which enables the computation of the optical flow using the hierarchical structure even in the presence of large disparities.

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

  • 강민제
    • 한국지능시스템학회논문지
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    • 제12권1호
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    • pp.1-6
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    • 2002
  • Hopfield는 선형 제한조건을 갖는 선형프로그램밍을 풀 수 있는 신경회로망을 제안하였는 데, 이 논문에서는 제한조건함수가 비선형함수를 포함하는 일반적인 최적화문제를 해결할 수 있는 신경망으로 확장하였다. 또한, 최적화문제를 신경회로망에 매핑시키는 방법, 그리고 회로로 구성하는 방법들이 논의되었다.

시변지연을 가진 뉴트럴 타입의 퍼지 마르코비안 점핑 홉필드 뉴럴 네트워크에 대한 지연의존 안정성 판별법 (Delay-dependent Stability Criteria for Fuzzy Markovian Jumping Hopfield Neural Networks of Neutral Type with Time-varying Delays)

  • 박명진;권오민;박주현;이상문
    • 전기학회논문지
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    • 제60권2호
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    • pp.376-382
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    • 2011
  • This paper proposes delay-dependent stability conditions of the fuzzy Markovian jumping Hopfield neural networks of neutral type with time-varying delays. By constructing a suitable Lyapunov-Krasovskii's (L-K) functional and utilizing Finsler's lemma, new delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. A numerical example is given to illustrate the effectiveness of the proposed methods.

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

  • 박성범;오재혁;이창호
    • 전자공학회논문지B
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    • 제30B권11호
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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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