Closed form solution to the optimality equations of minimal norm actuation

• Closed form solution to optimal actuation.
• Algorithm and examples are given.
• The solution may be used in reducing the control effort.

The paper deals with natural frequency assignment of vibrating systems by single-input feedback control. A closed form solution to the problem of selecting the input vector which leads to minimal norm of the control gain vector is given. The solution may be applied in applications to reduce the control effort.