Optimal boundary control of distributed systems involving dynamic boundary conditions

S. Kerbal, N. U. Ahmed

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we consider Lagrange type control problem for systems involving dynamic boundary conditions that is, with boundary operators containing time derivatives. Assuming the existence of optimal controls, B-evolutions theory is used to present necessary conditions of optimality. The result is illustrated by an example from heat transfer problem and also an algorithm for computing optimal controls is presented.

Original languageEnglish
Pages (from-to)387-411
Number of pages25
JournalMathematical Problems in Engineering
Volume3
Issue number5
DOIs
Publication statusPublished - 1998

Fingerprint

Optimal Boundary Control
Dynamic Boundary Conditions
System Dynamics
Distributed Systems
Dynamical systems
Optimal Control
Boundary conditions
Necessary Conditions of Optimality
Time Operator
Lagrange
Heat Transfer
Control Problem
Derivative
Mathematical operators
Computing
Heat transfer
Derivatives

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

  • Engineering(all)
  • Mathematics(all)

Cite this

Optimal boundary control of distributed systems involving dynamic boundary conditions. / Kerbal, S.; Ahmed, N. U.

In: Mathematical Problems in Engineering, Vol. 3, No. 5, 1998, p. 387-411.

Research output: Contribution to journalArticle

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