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This paper describes a general physical background that originates integro-differential problems with specific reference to aero-elastic coupling, and offers two techniques of control for this class of problems. The central result of the paper is that integro-differential equations with kernel exponential series admit an optimal solution described, in turn, by a Volterra integral equation in terms of the control. Numerical simulations show how controls prevent the flutter instability of a two-dimensional wing and a wind turbine blade. [ABSTRACT FROM AUTHOR]

This paper considers a new problem of control related to underwater vehicles. Due to the presence of a free fluid surface and to the vortex shedding of the vehicle lifting surfaces, the mathematical model is represented by an integral-differential equation. A new optimal control technique is investigated for this model, and its results compared with the use of a standard LQR method. [ABSTRACT FROM AUTHOR]