二次行列多項式システムの過減衰条件

抄録

Several sufficient conditions are derived for quadratic matrix polynomial systems to be overdamped based on an established characterization of the property. One of the conditions is shown to be less conservative than a previous sufficiency criterion, whereas another one to complement it. It is also pointed out that a pair of the coefficient matrices of the systems is interchangeable so long as the overdamping property is concerned. This fact may possibly double the line-up of sufficiency criteria for overdampedness, thus enriching alternatives to such testable conditions.