부산대학교 도서관

This paper investigates the problem of designing a linear state feedback control to stabilize a class of single-input uncertain linear dynamical systems. It has been found that to guarantee robust stability of uncertain systems one has to propose some restrictions, so-called matching conditions, that the locations of uncertain entries of system matrices are restricted to particular positions. It was also known that the matching conditions are sufficient but not necessary. \par This paper provides necessary and sufficient conditions; in the system matrix, the structural uncertainties can only locate in such places which form a certain geometrical pattern called antisymmetric stepwise configuration. The first feature of the theory in this paper is that the stabilization conditions can be easily checked by just examining the uncertainty locations in the given system matrix. The second feature of the theory is that once a system is proven to satisfy the stabilization conditions, a suitable quadratic Lyapunov function and a desired linear feedback can be constructed. \par The reviewer believes that after rather a long history the stabilization of uncertain plants has come to an end.