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.
- B-evolution systems
- Dynamic boundary control problem
- Generating and closed pair of operators
- Lagrange problem
- Optimal control
- Semi-linear systems
ASJC Scopus subject areas