Admissible initial value sets and dynamic feedback control of nonlinear differential-algebraic systems

In this paper, the admissible initial value set and dynamic feedback control of nonlinear differential-algebraic systems are considered. An algorithm to calculate the admissible initial value set is given. Based on the algorithm, the differential-algebraic system can be transformed to a standard state space system constrained in an invariant set. If the standard state space system constrained in the invariant set can be stabilized then the original differential-algebraic system can be stabilized by a dynamic feedback controller.