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1992 Fiscal Year Final Research Report Summary

Fundamental Research on Learning and Intelligence in System Control

Research Project

Project/Area Number 02452180
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

YAMAMOTO Yutaka  Kyoto University, Division of Applied Syst. Sci., Associate Professor, 工学部, 助教授 (70115963)

Co-Investigator(Kenkyū-buntansha) MATSUMOTO Yutaka  Ditto, Assistant Professor, 工学部, 助手 (40239124)
WATABE Hirokazu  Ditto, Assistant Professor, 工学部, 助手 (90201251)
OKINO Norio  Kyoto Univ., Div. Appl. Syst. Sci. Professor, 工学部, 教授 (30001093)
Project Period (FY) 1990 – 1992
KeywordsNeural Networks / Feedback Systems / Stability in Learn / Composite Networks / System Theory / Stability Analysis
Research Abstract

The focus of this research project is two fold: one is the general treatment of learning control scheme and the other is the study of learning mechanism of neural networks viewed from the system theoretic viewpoint. Needless to say, these two issues are mutually related.
In the study of the general learning control scheme, results on stability conditions in the frequency domain, robust stability condition under plant perturbations are obtained. these results guaranteed that robustness analysis can be made for such learning schemes as modified repetitive control schemes based upon the methodology already employed for finite-dimensional systems.
In relation to these, it is also clarified that the learning mechanism of neural networks and its application to control systems can be unified into the principle that the association of unorganized memories and the optimization in their respective parameter space. The notion of composite networks to be described below is the key to this development.
In the study of neural networks, the fundamental standpoint of viewing networks as dynamical systems led to the following subjects: 1) derivation of a learning algorithm for general networks with feedback connections, 2) its application to pattern recognition, 3) its further generalization to composite networks, 4) application of more effective algorithms such as the conjugate gradient method, each leading to a satisfactory result. In particular, the composite networks enjoy such features as 1) making learning easier by decomposing the problem into smaller parts, 2) applicable to networks where teaching signals are implicit, and are expected to become more fundamental to various construction of neural networks.
On the other hand, it has also become clear that more theoretical analysis is fairly difficult, partly due to the fundamental nonlinearity. More detailed research in this direction can be an open problem for the future.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] 加藤 泰久,山本 裕: "フィードバック結合を含むニューラルネットワークの学習について" システム制御情報学会論文誌. 4. 369-374 (1991)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Yutaka Yamamoto,Shinji Hara: "Internal and external stability and robust stability condition for a class of infinite-dimensional systems" Automatica. 28. 81-93 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 中谷,山本,松本: "複合ニューラルネットワークについて" システム制御情報学会論文誌. 5. 349-356 (1992)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Yamamoto: "A function space approach to sampled-data control systems and tracking problems" to appear in IEEE Trans.Autom.Control.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Yamamoto: "Learning control and related problems in infinite-dimensional sys-tems" to appear in Perspectives in Control,Birkhauser. (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Yamamoto: "On the state space and frequency domain characterization of H^∞ norm of sampled-data systems" to appear in Systems and Control Letters.

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y. Kato and Y. Yamamoto: ""Learning of neural networks with feedback connections, in Japanese" Systems/Control/Information. vol.4. 369-374 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yutaka Yamamoto: ""Equivalence of internal and external stability for a class of distributed systems"" Math. Control Signals and Systems. vol.4. 391-409 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A. C. Antoulas, T. Matsuo, and Y. Yamamoto: ""Linear deterministic realization theory"" Mathematical System Theory- The Influence of R. E. Kalman. Springer.191-212 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Yutaka Yamamoto and Shinji Hara: ""Internal and external stability and robust stability condition for a class of infinite-dimensional systems"" Automatica. vol.28. 81-93 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Nakatani, Y. Yamamoto and Y. Matsumoto: ""On composite neural networks," in Japanese" Systems/Control/Information. vol.5. 349-356 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Yamamoto: ""A function space approach to sampled-data control systems and tracking problems"" IEEE Trans. Autom. Control.

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Yamamoto: ""Learning control and related problems in infinite-dimensional systems"" Perspectives in Control, Birkhauser. (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y. Yamamoto: ""On the state space and frequency domain characterization of H^*-norm of sampled-data systems"" Systems and Control Letters.

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1994-03-24  

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