The Connection Between Singular Perturbations And Singular Arcs Part 2 a Theor
The Connection Between Singular Perturbations And Singular Arcs Part 2 a Theor
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The terminal boundary layer correction can be determined in a similar manner. Setting we find that 1 1 n(a, e) = I n e^, g(o, c) = I g e^ j = J (25) J = ^ = BR -"b g, - An. -, da ^j j-1 dg da i = Qn. + A*^ g (26) J-1 Then where d^g ^i -IT 2^ = Q B R -"b gj + k. _^ (27) da h Now v;e set where J-1 g.
= A T ^^. 1-1 _ dT Q A n J-1 Then (27) implies that da E^g. + Q B R -'■^^G, R-'-/^(B^QB)~^B^g, .
T T E g. = E k^. _, (28) and d^G da E- = R'-'-'^^b'^Q B R~^^^G. + R^^^(b'^Q B) ■'■B'^k ^T J-1 (29) (30...) or a decaying solution E g. (0)niis determined, and hence ■••P. D) is determined. Alsi B P. (l) is determined, providing the"^ terminal value 0. (0). "^ J Thus the complete asymptotic solution can be determined ') term by terra. V/e observe that the leading term of the outer 'expansion is just the familiar solution for a singular arc which occurs when e = (Moylan and Moore, 1971)- We also note ■that near t = the dominant term of the control Is (l/e)R~-'-B^fQ, where B R'^B^f^ = - B R~^/^ :r^ = B R"^/^C e~^'^M^(0) .
What to read after The Connection Between Singular Perturbations And Singular Arcs Part 2 a Theor?
You can find similar books in the "Read Also" column, or choose other free books by Antony Jameson to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The terminal boundary layer correction can be determined in a similar manner. Setting we find that 1 1 n(a, e) = I n e^, g(o, c) = I g e^ j = J (25) J = ^ = BR -"b g, - An. -, da ^j j-1 dg da i = Qn. + A*^ g (26) J-1 Then where d^g ^i -IT 2^ = Q B R -"b gj + k. _^ (27) da h Now v;e set where J-1 g.
= A T ^^. 1-1 _ dT Q A n J-1 Then (27) implies that da E^g. + Q B R -'■^^G, R-'-/^(B^QB)~^B^g, .
T T E g. = E k^. _, (28) and d^G da E- = R'-'-'^^b'^Q B R~^^^G. + R^^^(b'^Q B) ■'■B'^k ^T J-1 (29) (30...) or a decaying solution E g. (0)niis determined, and hence ■••P. D) is determined. Alsi B P. (l) is determined, providing the"^ terminal value 0. (0). "^ J Thus the complete asymptotic solution can be determined ') term by terra. V/e observe that the leading term of the outer 'expansion is just the familiar solution for a singular arc which occurs when e = (Moylan and Moore, 1971)- We also note ■that near t = the dominant term of the control Is (l/e)R~-'-B^fQ, where B R'^B^f^ = - B R~^/^ :r^ = B R"^/^C e~^'^M^(0) .
What to read after The Connection Between Singular Perturbations And Singular Arcs Part 2 a Theor?
You can find similar books in the "Read Also" column, or choose other free books by Antony Jameson to read onlineMoreLess
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