Abstract

Extremal problems for parabolic systems with multiple time-varying lags are presented. An optimal boundary control problem for parabolic systems in which multiple time-varying lags appear in the state equations and in the boundary conditions simultaneously is solved. The time horizon is fixed. Making use of Dubovicki-Milutin scheme, necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functionals and constrained control are derived. Key words: boundary control, parabolic systems, multiple time-varying lags.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call