@article{NAhm99,
AUTHOR = {Ahmed, N.U.},
TITLE = {Mathematical model and optimal control of flow induced vibration of
pipelines},
JOURNAL = {Discuss. Math. Differential Inclusions, Control and Optimization},
FJOURNAL = {Discussiones Mathematicae. Differential Inclusions, Control and Optimization},
VOLUME = {19},
YEAR = {1999},
PAGES = {67-84},
ISSN = {1509-9407},
ABSTRACT = {In this paper we consider a dynamic model for flow induced vibration of
pipelines. We study the questions of existence and uniqueness
of solutions of the system. Considering the flow rate as the
control variable, we present three different necessary
conditions of optimality. The last one with state constraint
involves Differential Inclusions. The paper is concluded with
an algorithm for computing the optimal controls.},
}