Computing Iterated Derivatives Along Trajectories of Nonlinear Systems (original) (raw)

Nonlinear Control Systems Design 1992, 1993

Abstract

Publisher Summary This chapter discusses computing iterated derivatives along trajectories of nonlinear systems. It describes the theory of species. This theory combines the usual language of formal power series with the classical enumeration formulas. It allows to compute specific coefficients in the development of the solution of nonlinear differential equations. It develops a convenient language for the description of systems. The theory of species shows the internal structure of the classical algebric manipulations and synthetizes a long development into the description of a certain class of arborescences. This approach is particularly efficient for the design of computer algebra algorithms. There are new developments in this direction. Classical developments on implicit polynomial differential equations are also possible.

X. Viennot hasn't uploaded this paper.

Let X. know you want this paper to be uploaded.

Ask for this paper to be uploaded.