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Regular version of the site

Book chapter

Optimal Chattering Regimes in Nonhomogeneous Bar Model

We consider an optimal control problem of longitudinal vibrations of a nonhomogeneous bar with clamped ends. We assume that the density of external forces is a control function. Using the Fourier method we prove that the optimal control is the chattering control, i.e., it has an infinite number of switchings in a~finite time interval.

In book

ISAST: International Society for the Advancement of Science and Technology, 2014.