학술논문
Stabilization of a linear autonomous system with respect to a subspace. II.
Document Type
Journal
Author
Korobov, V. I. AMS Author Profile; Lucenko, A. V. AMS Author Profile; Podolʹskiĭ, E. N. AMS Author Profile
Source
Subject
49 Calculus of variations and optimal control; optimization -- 49E Controllability and geometry of control problems
49E99None of the above, but in this section
49E99
Language
Russian
Abstract
The authors consider the problem of stabilization for the subspace $G=\{x\colon Hx=0\}$, $x\in E_n$, of the linear system of $n$ differential equations with $r$ control functions $dx/dt=Ax+Bu$, where $A(n\times n)$ and $B(n\times r)$ are constant real matrices. \par They obtain necessary and sufficient conditions for stability with respect to a subspace. They construct an algorithm that enables them to check the possibility of stabilization and, if the stabilization is possible, to find the stabilizing control. \par \{Part I has been reviewed [MR0528785 (58 \#26382)].\}