DocumentCode
390966
Title
Exponential representations of Volterra-like expansions: an explicit computation of the exponent series
Author
Monaco, S. ; Normand-Cyrot, D. ; Califano, C.
Author_Institution
Dipt. di Informatica e Sistemistica \´\´\´\´Antonio Ruberti", La Sapienza Univ., Rome, Italy
Volume
3
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
2708
Abstract
The paper concerns the exponential form representation of the flow associated with the solution of time varying nonlinear differential equations. Starting from the known fact that the exponent is a Lie series, an iterative computation of the successive Lie polynomials which define this exponent is proposed. The result is specified in the case of nonlinear difference equations.
Keywords
iterative methods; nonlinear differential equations; polynomials; series (mathematics); time-varying systems; Lie polynomials; Lie series; Volterra-like expansions; explicit computation; exponent series; exponential representations; iterative computation; nonlinear difference equations; time varying nonlinear differential equations; Algebra; Combinatorial mathematics; Difference equations; Differential equations; Integral equations; Nonlinear equations; Polynomials; Taylor series; Time series analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184250
Filename
1184250
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