关于控制受限下系统的可控、可达性

Discussion on controllability and accessibility of systems under limited controls

这里所探讨的问题是离散线性系统的多变量受限控制问题。对于系统 X_(k+1)=AX_k+BU_k U_k∈Ω■ R^m给出了系统可达的充要条件。在此基础上又给出了4个推论:l°当A为正数矩阵,且A的复特征根为单根时,系统区域可达的充要条件。2°系统区域零可控的充要条件。3°A^(-1)满足一定的条件时,系统区域零可控的充要条件。4°当Ω=R_+~m时,系统整体可达的充要条件。

This paper discusses about a discreat system problem with multivariate Under limted controls For X_(k+1) = AX_k + BU_k U_k ∈Ω ■ R. It gives a sufficient and nes- sary Condition. On the basic of result, it also gives four in- ferences. l. If the element a_ij > 0 of the matrix A, and its complex characteristic root is single-root, it is accessible in system region. 2. A sufficient and nessary condition of system reagion zero control. 3. A sufficient and nessary condition of system reagion zero control under some condi- tion .4. A sufficient and nessary condition of system goobal aoccessibility when Ω = R_+~m.