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Journal of Intelligent Material Systems and Structures
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Equilibrium States of LYAM System

M.R. Sayeh

Department of Electrical Engineering Southern Illinois University at Carbondale Carbondale, IL 62901-6603

R. Athinarayanan

Department of Electrical Engineering Southern Illinois University at Carbondale Carbondale, IL 62901-6603

In this paper, a study of the Lyapunov Associative Memory (LYAM) is given. This system is constructed by a set of ordinary differential equations, and its stable equilibrium states store pattern cluster information. The study shows that the single-class system is always globally stable; the many-class system has many unstable activation states and at least one stable category state representing the learned information. A rigorous stability study of the many-class system is difficult, and it remains to be investigated.

Journal of Intelligent Material Systems and Structures, Vol. 5, No. 2, 160-164 (1994)
DOI: 10.1177/1045389X9400500202
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