On a criterion for the complete controllability of nonautonomous linear systems |
| |
Authors: | Yu M Semenov |
| |
Institution: | 1.Chuvash State University,Cheboksary,Russia |
| |
Abstract: | We describe the controllability sets of linear nonautonomous systems ẋ = A(t)x + B(t)u, x ∈ ℝ
n
, u ∈ U ⊆ ℝ
m
, with entire matrix functions A(t) and B(t) and with a linear set U of control constraints. We derive a criterion for the complete controllability of these linear systems in terms of derivatives
of the entire matrix functions A(t) and B(t) at zero. This complete controllability criterion is compared with the Kalman and Krasovskii criteria. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|