Existence of optimal controls for distributed systems involving dynamic boundary conditions

S. Kerbal, N. U. Ahmed

Research output: Contribution to journalArticle

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

Fingerprint

Dynamic Boundary Conditions
Semilinear Systems
Nuclear Reactor
Calculus of variations
System Dynamics
Lagrange
Distributed Systems
Heat Transfer
Control Problem
Dynamical systems
Optimal Control
Boundary conditions
Nuclear reactors
Heat transfer

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

Cite this

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