Electronic Resource
Springer
Annali di matematica pura ed applicata
137 (1984), S. 163-173
ISSN:
1618-1891
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Approximations for the function ϕ implicitly defined by ϕ(u)=Φ(u, ϕ(u)) are obtained via the iterative scheme ϕn(u)=Φ(u, ϕn−1(u)). In this paper the uniform convergence of high order derivatives of ϕn to the corresponding derivatives of ϕ is proved. This result yields a high order approximation theorem for the input-output map generated by a nonlinear control system, using linear combinations of iterated integrals of the control.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01789393
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