Bilinear Minimax Optimal Control Problems of the Velocity Term in an Extensible Beam Equation with Rotational Inertia

The author studies the minimax optimal control problem for an extensible beam equation that takes into account rotational inertia effects. A velocity term multiplied by bilinear and disturbance functions to construct a strategy is added. existence of pair, meaning perturbation, proved assuming some conditions on considered quadratic cost function. pairs are provided adjoint systems correspond physically meaningful observation cases.