@article{oai:tsukuba.repo.nii.ac.jp:00009480,
author = {堀, 憲之 and Hori, N. and Rabbath, C. A. and Nikiforuk, N.},
issue = {5},
journal = {IET control theory & applications},
month = {Sep},
note = {application/pdf, An exact, first-order, discrete-time model that gives correct values at the sampling
instants for any sampling interval is derived for a nonlinear system whose dynamics are governed
by a scalar Riccati differential equation with constant parameters. The model is derived by
transforming the given differential equation into a stable linear form to which the invariant
discretization is applied. This is in contrast with other existing methods which result in a
second-order and usually unstable form and which is not suitable for on-line digital control
purposes. Simulation results are presented to show that the proposed method is always exact at the
sampling instants, whereas the popular forward difference model can be divergent unless the
sampling interval is sufficiently small.},
pages = {1219--1223},
title = {Exact Discretization of a Scalar Differential Riccati Equation with Constant Parameters},
volume = {1},
year = {2007}
}