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New results in impulse-free continuous-time cheap LQ optimal control

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2014
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Conference Paper

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Ferrante, A. and Ntogramatzidis, L. 2014. New results in impulse-free continuous-time cheap LQ optimal control, in Bauso, D. and d’Ippolito, F. and Fagiolini, A. et al (ed), Proceedings of the 22nd Mediterranean Conference on Control and Automation (MED), Jun 16-19 2014, pp. 402-406. Palermo, Italy: IEEE.
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Proceedings of the 2014 22nd Mediterranean Conference on Control & Automation (MED 2014)
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2014 22nd Mediterranean Conference on Control & Automation (MED 2014)
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Department of Mathematics and Statistics
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Abstract

In this paper, we provide conditions for the solvability of LQ (linear-quadratic) optimal control problems in which the input function is not penalised in the performance index. In particular, we focus our attention on regular input functions, i.e., on the control functions that do not involvedistributions, which in general appear in the solution of singular problems.