Indefinite LQ Problem for Irregular Singular Systems

الملخص EN

The indefinite LQ problem for irregular singular systems is investigated.

Under some general conditions, the optimal control-state pair is obtained by solving an algebraic Riccati equation.

The optimal control is synthesized as state feedback.

All the finite poles of the closed-loop system are located on the left-half complex plane.

An example is given to show the validity of the proposed conclusion.