CONSTRAINED MATRIX SYLVESTER EQUATIONS

被引:16
作者
BARLOW, JB
MONAHEMI, MM
OLEARY, DP
机构
[1] UNIV MARYLAND,DEPT COMP SCI,COLLEGE PK,MD 20742
[2] UNIV MARYLAND,INST ADV COMP STUDIES,COLLEGE PK,MD 20742
关键词
SYLVESTER OPERATOR; MATRIX LIAPUNOV EQUATION; LOOP TRANSFER RECOVERY;
D O I
10.1137/0613002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of finding matrices L and T satisfying TA - FT = LC and TB = 0 is considered. Existence conditions for the solution are established and an algorithm for computing the solution is derived. Conditions under which the matrix [C(T), T(T)] is full rank are also discussed. The problem arises in control theory in the design of reduced-order observers that achieve loop transfer recovery.
引用
收藏
页码:1 / 9
页数:9
相关论文
共 11 条
[1]   ALGORITHM - SOLUTION OF MATRIX EQUATION AX+XB = C [J].
BARTELS, RH ;
STEWART, GW .
COMMUNICATIONS OF THE ACM, 1972, 15 (09) :820-&
[2]  
Dongarra J. J., 1979, LINPACK USERS GUIDE
[3]  
Gantmacher F. R., 1977, THEORY MATRICES
[4]   HESSENBERG-SCHUR METHOD FOR THE PROBLEM AX+XB=C [J].
GOLUB, GH ;
NASH, S ;
VANLOAN, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) :909-913
[5]  
Houpis, 1988, LINEAR CONTROL SYSTE
[6]  
MONAHEMI MM, 1991, TR2600 U MAR COMP SC
[7]   DATA-FLOW ALGORITHMS FOR PARALLEL MATRIX COMPUTATIONS [J].
OLEARY, DP ;
STEWART, GW .
COMMUNICATIONS OF THE ACM, 1985, 28 (08) :840-853
[8]   PARALLEL QR FACTORIZATION BY HOUSEHOLDER AND MODIFIED GRAM-SCHMIDT ALGORITHMS [J].
OLEARY, DP ;
WHITMAN, P .
PARALLEL COMPUTING, 1990, 16 (01) :99-112
[9]  
SYLVESTER JJ, 1884, CR HEBD ACAD SCI, P67
[10]   NEW APPROACH TO ROBUST OBSERVER DESIGN [J].
TSUI, CC .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (03) :745-751