Article ID Journal Published Year Pages File Type
713341 IFAC Proceedings Volumes 2014 7 Pages PDF
Abstract

We consider an optimal control problem for a vibrating string with multiplicative distributive control. Multiplicative control is the coefficient u(x, t) of velocity term yt. Using multiplicative control, we bring the state solution to the desired profile under a quadratic cost of control.We prove the existence of optimal control. Criterion for characterization of the unique optimal control is provided in the form of optimality system.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics