This online lecture begins with a simple explanation of the mechanism of flutter and the main features of its mathematical description. It thus becomes clear why flutter is the all-dominating criterion in the design of very long span bridges. Various known ways of stabilizing a bridge against flutter are discussed and it is shown that all of these are associated with certain respective disadvantages. An alternative device is described which avoids these disadvantages: the eccentric-wing flutter stabilizer. A parametric flutter analysis study is presented that shows for what type of bridges the device is particularly effective and cost-efficient.