Second Order Analysis for Bang-Bang Control Problems of PDEs
نویسندگان
چکیده
منابع مشابه
Second Order Analysis for Bang-Bang Control Problems of PDEs
In this paper, we derive some sufficient second order optimality conditions for control problems of partial differential equations (PDEs) when the cost functional does not involve the usual quadratic term for the control or higher nonlinearities for it. Though not always, in this situation the optimal control is typically bang-bang. Two different control problems are studied. The second differs...
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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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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2012
ISSN: 0363-0129,1095-7138
DOI: 10.1137/120862892