Energy Functions for MultiComponent Systems
Project/Area Number  07680417 
Research Category 
GrantinAid for Scientific Research (C)

Allocation Type  Singleyear Grants 
Section  一般 
Research Field 
Intelligent informatics

Research Institution  Ryukoku Univ. 
Principal Investigator 
KOBUCHI Youichi Ryukoku Univ.Faculty of Science and Technology Professor, 理工学部, 教授 (60025450)

Project Period (FY) 
1995 – 1996

Project Status 
Completed(Fiscal Year 1996)

Budget Amount *help 
¥1,200,000 (Direct Cost : ¥1,200,000)
Fiscal Year 1996 : ¥600,000 (Direct Cost : ¥600,000)
Fiscal Year 1995 : ¥600,000 (Direct Cost : ¥600,000)

Keywords  Logic Network / Higherorder NN / Lyapunov Function / Order Relation / Pure Energy Function / Symmetry / Complate Lattice / 多素子系 / ニューラル・ネットワーク / 非対称ニューラル・ネットワーク 
Research Abstract 
A logic network is a network of binary logic functions, which may be expressed as a higherorder neural network. We consider asynchronous operation mode a characterize stable networks through corresponding Lyapunov functions.We first treat a typical type of stable logic networks (called pure) and give their characterization. This is related with symmetry of the networks. Then we define a partial order on the set of logic networks and reveal some basic properties of stable logic networks in this lattice structure. That is, purely stable logic network is a maximal element of the set of stable logic networks, and a logic network M is stable if and only if there exists a purely stable logic network L such that L is greater than or equal to M under the above mentioned order.

Report
(3results)
Research Output
(3results)