The singular perturbation theory developed by Kokotovic et al. is applied to the distributed
parameter system described by a set of parabolic differential equations involving a …

A class of distributed-parameter control systems involving interacting fast and slow
subsystems is considered and treated by an extension of the singular perturbation method …

A singularly perturbed linear finite-dimensional ordinary differential equation is considered
on the half-line [0,∞). The reduced system is assumed to have a unique solution in the …

This note studies a class of discrete-time nonlinear systems which depend on a small
parameter. Using the singular perturbation theory in a systematic way, we give a trajectory …

A new method based on the singular perturbation theory is presented for synthesizing
suboptimal control of nuclear reactors with spatially distributed parameters. The inverse of …

In optimization problems, it is urged from practical points of view to develop effective
synthesis methods based on an approximate model obtainable by reducing the system …

In recent years the accommodation of disturbances in optimal control has been discussed
with respect to lumped parameter systems. The present paper discusses the equivalent …

本論文は, 値の小さいパラメータを含むダイナミカル･ システムに対して, システムの次数を低減する
ことにより近似的に最適制御を求めるための特異摂動論に関する研究結果をまとめ …

The linear deterministic mathematical model of a nuclear reactor system, which can bo
described by parabolic partial differential equations, and the problems associated with this …

A technique different from the boundary layer method is developed to deal with singularly
perturbed optimal control problems. The technique is applicable, in particular, in the case …