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
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184250
