Existence of optimal controls for distributed systems involving dynamic boundary conditions

S. Kerbal*, N. U. Ahmed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we use the calculus of variation, a classical technique to prove the existence of an optimal control for Lagrange type control problem subject to a semilinear systems governed by B-evolutions, that is for systems involving dynamics on the boundary. For motivation we present an example of heat transfer problem arising in the nuclear reactor.

Original languageEnglish
Pages (from-to)55-67
Number of pages13
JournalDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume14
Issue number1
Publication statusPublished - Feb 2007

Keywords

  • B-evolution systems
  • Dynamic boundary control problem
  • Generating and closed pair of operators
  • Lagrange problem
  • Optimal control
  • Semi-linear systems
  • Semigroup

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

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