Passivity for differential-algebraic systems
微分代数系统的无源性

The passive control problem for differential-algebraic systems is investigated.The passive definition of differential-algebraic systems and KYP property definition are proposed.Similar to methods of differential geometry theory,equivalent theorem between differential-algebraic systems' passivation and KYP property was given,the necessary and sufficient passive condition for differential-algebraic systems is given by introducing M derivative.In the end,the condition of passive controller existence is presented.M derivative method can be considered as extension of L derivative method.A series of results are obtained,which combines passive concept coming from physical systems with control theory.