Elimination of Anticipation of Singular Linear Systems

摘要

Three methods of elimination of the anticipation of singular discrete-time and continuous-time linear systems are proposed. The elimination of the anticipation is achieved by connection in series with anticipatory system of a suitable number of delay elements (discrete-time systems) or integrators (continuous-time systems) or by suitable choice of gain matrices of state-derivative feedbacks or state-feedbacks. Necessary and sufficient conditions for the existence of gain matrices are established.