The Carleman Inequality and Its Application to Periodic Optimal Control Governed by Semilinear Parabolic Differential Equations

G. Wang and L. Wang
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G. Wang: Huazhong Normal University
L. Wang: Huazhong Normal University

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 2, No 11, 429-461

Abstract: Abstract This paper deals with optimal control problems for semilinear parabolic differential equations, which may be governed by nonmonotone operators and have no global solution, with periodic inputs. The Pontryagin maximum principle is obtained and the Carleman inequality for the backward linearized adjoint system associated with the state system is established.

Keywords: Pontryagin maximum principle; optimal control; semilinear parabolic equation; periodic input; Carleman inequality (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1025459624398

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