OBSERVABILITY OF POLYNOMIAL SYSTEMS .1. FINITE-TIME PROBLEMS

被引:115
作者
SONTAG, ED
机构
关键词
D O I
10.1137/0317011
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Different notions of observability are compared for systems defined by polynomial difference equations. The main result states that, for systems having the standard property of (multiple-experiment initial-state) observability, the response to a generic input sequence is sufficient for final-state determination. Some remarks are made on results for nonpolynomial and/or continuous-time systems. An identifiability result is derived from the above.
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页码:139 / 151
页数:13
相关论文
共 22 条
[1]  
Anderson B.D.O., 1971, LINEAR OPTIMAL CONTR
[2]  
BELLMAN R, 1970, Mathematical Biosciences, V7, P329, DOI 10.1016/0025-5564(70)90132-X
[3]  
BROCKETT RW, 1972, THEORY APPLICATIONS
[4]  
Conway J. H., 1971, REGULAR ALGEBRA FINI
[5]   REALIZATION AND STRUCTURE THEORY OF BILINEAR DYNAMICAL-SYSTEMS [J].
DALESSANDRO, P ;
ISIDORI, A ;
RUBERTI, A .
SIAM JOURNAL ON CONTROL, 1974, 12 (03) :517-535
[6]  
EILENBERG S, 1974, AUTOMATA LANGUAGES A
[8]  
FLIESS M, 1973, C R ACAD SCI PARIS A, V277, P243
[9]   REGULATOR THEORY FOR FINITE AUTOMATA [J].
GATTO, M ;
GUARDABASSI, G .
INFORMATION AND CONTROL, 1976, 31 (01) :1-16
[10]  
Gill A., 1962, INTRO THEORY FINITE