Abstract
We now define the Hamilton function, or the Hamiltonian, of a CDS by the formula Where pq is the scalar product of the vectors p and q in Rn or, what is same, by where P (p, q, u) = p f (q, u). Clearly, H (p, q) is nothing other than the support function of the convex set f (q, U) [97]. If the upper bound in (1) or (2) is attained, we write
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© 1991 Springer Science+Business Media Dordrecht
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Butkovskiy, A.G. (1991). The Hamiltonian of CDS as a Support Function. In: Phase Portraits of Control Dynamical Systems. Mathematics and Its Applications (Soviet Series) , vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3258-9_7
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DOI: https://doi.org/10.1007/978-94-011-3258-9_7
Publisher Name: Springer, Dordrecht
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