Second Order Analysis for Bang-Bang Control Problems of PDEs

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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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ژورنال

عنوان ژورنال: SIAM Journal on Control and Optimization

سال: 2012

ISSN: 0363-0129,1095-7138

DOI: 10.1137/120862892