線形時変ディスクリプタシステムに対する安定条件と安定化法

抄録

This paper proposes stability conditions and a stabilization method for linear time-varying bounded descriptor systems. Two necessary and sufficient conditions are obtained for exponential stability in terms of linear matrix differential inequalities (LMdIs) . Then, one of the stability conditions is utilized to derive a necessary and sufficient condition of an LMdI type for exponential stabilizability, where the stabilizing control law feeds back only the dynamic part of the descriptor variable. A practical method for solving the LMdI is presented to compute a feedback gain.