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    A Multiplier Rule for a Functional Subject to Certain Integrodifferential Constraints

    Source: Journal of Fluids Engineering:;1969:;volume( 091 ):;issue: 002::page 185
    Author:
    M. Wittler
    ,
    C. N. Shen
    DOI: 10.1115/1.3571056
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A problem in the optimal control of a nuclear rocket requires the minimization of a functional subject to an integral equation constraint and an integrodifferential inequality constraint. A theorem giving first-order necessary conditions is derived for this problem in the form of a multiplier rule. The existence of multipliers and the arbitrariness of certain variations is shown. The fundamental lemma of the calculus of variations is applied. A simple example demonstrates the applicability of the theorem.
    keyword(s): Theorems (Mathematics) , Optimal control , Integral equations AND Rockets ,
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      A Multiplier Rule for a Functional Subject to Certain Integrodifferential Constraints

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    https://yetl.yabesh.ir/yetl1/handle/yetl/134835
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    contributor authorM. Wittler
    contributor authorC. N. Shen
    date accessioned2017-05-09T00:21:57Z
    date available2017-05-09T00:21:57Z
    date copyrightJune, 1969
    date issued1969
    identifier issn0098-2202
    identifier otherJFEGA4-27332#185_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/134835
    description abstractA problem in the optimal control of a nuclear rocket requires the minimization of a functional subject to an integral equation constraint and an integrodifferential inequality constraint. A theorem giving first-order necessary conditions is derived for this problem in the form of a multiplier rule. The existence of multipliers and the arbitrariness of certain variations is shown. The fundamental lemma of the calculus of variations is applied. A simple example demonstrates the applicability of the theorem.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Multiplier Rule for a Functional Subject to Certain Integrodifferential Constraints
    typeJournal Paper
    journal volume91
    journal issue2
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.3571056
    journal fristpage185
    journal lastpage189
    identifier eissn1528-901X
    keywordsTheorems (Mathematics)
    keywordsOptimal control
    keywordsIntegral equations AND Rockets
    treeJournal of Fluids Engineering:;1969:;volume( 091 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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