抄録
In this paper, we consider on the freedom of the parameters of new state feedback gain synthesis methods based on non-common Lyapunov matrices and descriptor form. The condition that authors derived with descriptor form has the design variables α and β. These parameters do not appear in the equivalent former methods proposed by Ebihara et al. and Shimomura et al., independently. They seem to modify conservativeness gap between analysis and synthesis. However, we show that the freedom is marginal and is not essential and these parameters do not modify the conservativeness. Then we give an interpretation of these parameters and verify it by numerical examples.
