PRACTICAL STABILITY OF LINEAR DELAY SYSTEMS AND LARGE-SCALE DELAY SYSTEMS
The practical stability theory, an important branch of stability theory, has been developed as a meaningful quantitative theory for the analysis of systems on the basis of the early works of N. G. Chetayev (1935, 1960), N. D. Moiseyev (1945), G. E. Melnikov (1956), J. P. LaSalle and S. Lefschetz (1961), et al. The investigations on this topic are mostly with the ordinary differential systems and discontinuous systems.
Summary form only given, as follows. A study is presented of precision constraints imposed by a hybrid chip architecture with analog neurons and digital backpropagation calculations. Conversions between the analog and digital domains and weight storage restrictions impose precision limits on both analog and digital calculations. It is shown through simulations that a learning system of this nature can be implemented in spite of limited resolution in the analog circuits and using fixed-point arithmetic to implement the backpropagation algorithm. >