STOCHASTIC-REALIZATION APPROACH TO THE SMOOTHING PROBLEM

被引:35
作者
BADAWI, FA
LINDQUIST, A
PAVON, M
机构
[1] Department of Mathematics, University of Kentucky, Lexington
关键词
D O I
10.1109/TAC.1979.1102174
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 purpose of this paper is to develop a theory of smoothing for finiite dimensional linear stochastic systems in the context of stochastic realization theory. The basic Idea is to embed the given stochastic system in a class of similar systems all having the same output process and the same Kalman-Bucy filter. This class has a lattice structure with a smallest and a largest element; these two elements completely determine the smoothing estimates. This approach enables us to obtain stochastic interpretations of many important smoothing formulas and to explain the relationship between them. Copyright © 1979 by The Institute of Electricala and Electronics Engineers Inc.
引用
收藏
页码:878 / 888
页数:11
相关论文
共 48 条
[31]  
PAVON M, 1978, 1ST P C AFCET SMF PA
[32]   STOCHASTIC REALIZATION OF GAUSSIAN PROCESSES [J].
PICCI, G .
PROCEEDINGS OF THE IEEE, 1976, 64 (01) :112-122
[33]   MAXIMUM LIKELIHOOD ESTIMATES OF LINEAR DYNAMIC SYSTEMS [J].
RAUCH, HE ;
TUNG, F ;
STRIEBEL, CT .
AIAA JOURNAL, 1965, 3 (08) :1445-&
[34]   2 SELECTED TOPICS CONNECTED WITH STOCHASTIC-SYSTEMS THEORY [J].
ROZANOV, YA .
APPLIED MATHEMATICS AND OPTIMIZATION, 1976, 3 (01) :73-80
[35]  
RUCKEBUSCH G, 1977, JOURNEES STATISTIQUE, P636
[36]  
RUCKEBUSCH G, 1978 P INT S CIRC SY
[37]  
RUCKEBUSCH G, 1978, 41 CENT MATH APPL EC
[38]  
RUCKEBUSCH G, 1975, THESIS U PARIS 6
[39]  
RUCKEBUSCH G, 1976, CR ACAD SCI PARIS A, V22, P649
[40]   NEW SMOOTHING ALGORITHMS BASED ON REVERSED-TIME LUMPED MODELS [J].
SIDHU, GS ;
DESAI, UB .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) :538-541