Sufficient conditions for bang-bang control in Hilbert space
نویسندگان
چکیده
منابع مشابه
Sufficient Second-Order Conditions for Bang-Bang Control Problems
We provide sufficient optimality conditions for optimal control problems with bang-bang controls. Building on a structural assumption on the adjoint state, we additionally need a weak second-order condition. This second-order condition is formulated with functions from an extended critical cone, and it is equivalent to a formulation posed on measures supported on the set where the adjoint state...
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Bang-bang control problems subject to a state inequality constraint are considered. It is shown that the control problem induces an optimization problem, where the optimization vector assembles the switching and junction times for bangbang and boundary arcs. Second order sufficient conditions (SSC) for the stateconstrained control problem are given which require that SSC for the induced optimiz...
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Second order necessary and sufficient optimality conditions for bang–bang control problems have been studied in Milyutin, Osmolovskii (1998). These conditions amount to testing the positive (semi–)definiteness of a quadratic form on a critical cone. The assumptions are appropriate for numerical verification only in some special cases. In this paper, we study various transformations of the quadr...
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Second order sufficient optimality conditions for bang-bang control problems in a very general form have been obtained in [15, 21, 13, 12, 1]. These conditions require the positive definiteness (coercivity) of an associated quadratic form on the finite-dimensional critical cone. In the present paper, we investigate similar conditions for optimal control problems with a control variable having t...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 1970
ISSN: 0022-3239,1573-2878
DOI: 10.1007/bf00928120