Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks

Abstract

The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established. The Euler and Tustin approximations of the continuous-time systems are analyzed. Procedures for computation of the feedbacks are given and illustrated by numerical examples.

Keywords

• eigenvalue assignment
• descriptor
• linear system
• state derivative
• feedback