On balanced realization and finite-dimensional approximation for infinite-dimensional nonlinear systems

被引：1

作者：

Fujimoto, Kenji ^{[1
]}

Ono, Sayaka ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Engn, Dept Mech Sci & Engn, Chikusa Ku, Nagoya, Aichi 4648601, Japan

来源：

47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008) | 2008年

关键词：

D O I：

10.1109/CDC.2008.4739031

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we propose a finite-dimensional approximation for a nonlinear infinite-dimensional system via balanced realization. The proposed method is accomplished by balanced realization and singular value analysis for nonlinear systems. This approach is expected to derive effective approximate models preserving particular input-output behavior. Necessary and sufficient conditions characterizing balanced realization for infinite-dimensional systems are derived. Furthermore, the effectiveness of the proposed method is shown by a numerical simulation.

引用

页码：4215 / 4220

页数：6

共 50 条

[21] A FINITE-DIMENSIONAL FILTERING OF INFINITE-DIMENSIONAL DIFFUSION-PROCESSES
ORLOV, YV
[J]. MATHEMATICAL NOTES, 1992, 52 (5-6) : 1207 - 1212
[22] FINITE-DIMENSIONAL AND INFINITE-DIMENSIONAL REPRESENTATIONS OF LINEAR SEMISIMPLE GROUPS
LEPOWSKY, J
WALLACH, NR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 184 (OCT) : 223 - 246
[23] LINEAR AND BILINEAR INFINITE-DIMENSIONAL REPRESENTATIONS OF FINITE-DIMENSIONAL NON-LINEAR SYSTEMS
BANKS, SP
ASHTIANI, A
[J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1985, 16 (07) : 841 - 853
[24] REALIZATION AND APPROXIMATION OF LINEAR INFINITE-DIMENSIONAL SYSTEMS WITH ERROR-BOUNDS
GLOVER, K
CURTAIN, RF
PARTINGTON, JR
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (04) : 863 - 898
[25] A finite-dimensional approach to infinite-dimensional constraints in stochastic programming duality
Korf, LA
[J]. STOCHASTIC OPTIMIZATION: ALGORITHMS AND APPLICATIONS, 2001, 54 : 155 - 167
[26] AN APPROACH TO THE DEDUCTION OF THE FINITE-DIMENSIONAL INTEGRABILITY FROM THE INFINITE-DIMENSIONAL INTEGRABILITY
ZENG, YB
[J]. PHYSICS LETTERS A, 1991, 160 (06) : 541 - 547
[27] Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
Hunt, BR
Kaloshin, VY
[J]. NONLINEARITY, 1999, 12 (05) : 1263 - 1275
[28] MUTUAL AND SHARED NEIGHBOR PROBABILITIES - FINITE-DIMENSIONAL AND INFINITE-DIMENSIONAL RESULTS
SCHILLING, MF
[J]. ADVANCES IN APPLIED PROBABILITY, 1986, 18 (02) : 388 - 405
[29] Nonlinear approximation in finite-dimensional spaces
DeVore, RA
Temlyakov, VN
[J]. JOURNAL OF COMPLEXITY, 1997, 13 (04) : 489 - 508
[30] The relation between the mechanics of dissipative finite-dimensional systems with heredity and the mechanics of infinite-dimensional Hamiltonian systems
Dinariyev, OY
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1999, 63 (02): : 237 - 247

← 1 2 3 4 5 →