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  • 1
    Electronic Resource
    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
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