REALIZATION OF BILINEAR STOCHASTIC-SYSTEMS

被引:14
作者
DESAI, UB
机构
[1] Washington State Univ, Pullman, WA,, USA, Washington State Univ, Pullman, WA, USA
关键词
MATHEMATICAL TECHNIQUES - Algorithms;
D O I
10.1109/TAC.1986.1104225
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of realizing bilinear stochastic systems (BLSR) is analyzed. First, an explicit statement for the BLSR problem is presented. Next, a realization algorithm is developed. In this algorithm the state vector is picked as a basis in the subspace obtained by projecting an appropriately defined past vector onto an appropriately defined future vector. Also, the realization algorithm involves solving a matrix nonlinear equation which is akin to the algebraic Riccati equation, except for one additional term.
引用
收藏
页码:189 / 192
页数:4
相关论文
共 38 条
[1]   A CHARACTERIZATION OF MULTILINEAR SYSTEMS [J].
ARBIB, MA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1969, AC14 (06) :699-&
[2]   LIE THEORY AND CONTROL-SYSTEMS DEFINED ON SPHERES [J].
BROCKETT, RW .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 25 (02) :213-225
[3]  
BROCKETT RW, 1976, MATH PROGRAMMING STU, V5, P8
[4]   BILINEAR SYSTEMS - APPEALING CLASS OF NEARLY LINEAR-SYSTEMS IN THEORY AND APPLICATIONS [J].
BRUNI, C ;
DIPILLO, G ;
KOCH, G .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (04) :334-348
[5]   RECENT DEVELOPMENTS AND FUTURE PERSPECTIVES IN NON-LINEAR SYSTEM-THEORY [J].
CASTI, JL .
SIAM REVIEW, 1982, 24 (03) :301-331
[6]   OPTIMAL FILTERS FOR BILINEAR-SYSTEMS WITH NILPOTENT LIE-ALGEBRAS [J].
CHIKTE, SD ;
TINGHOLO, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) :948-953
[7]   REALIZATION AND STRUCTURE THEORY OF BILINEAR DYNAMICAL-SYSTEMS [J].
DALESSANDRO, P ;
ISIDORI, A ;
RUBERTI, A .
SIAM JOURNAL ON CONTROL, 1974, 12 (03) :517-535
[8]  
Fliess M., 1976, MATH SYST THEORY, P122
[9]   A SHIFT OPERATOR APPROACH TO BILINEAR SYSTEM-THEORY [J].
FRAZHO, AE .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1980, 18 (06) :640-658
[10]  
FRAZHO AE, 1984, 18TH P ANN C INF SCI