Abstract
Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant delays appear in the state equation. Sufficient conditions for the existence of a unique solution of the parabolic time delay equation with the Dirichlet boundary condition are proved. The time horizon T is fixed. Making use of the Lions scheme [9], necessary and sufficient conditions of optimality for the Dirichlet problem with non-quadratic criterion and constrained control are derived.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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© 2003 IFIP International Federation for Information Processing
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Kowalewski, A. (2003). On Some Optimization Problem with Non-Quadratic Criterion. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_23
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DOI: https://doi.org/10.1007/978-0-387-35690-7_23
Publisher Name: Springer, Boston, MA
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