Robust stabilization and robust H∞ design for descriptor systems with uncertainties in all system matrices: An LMI approach

The paper addresses robust admissibility, robust H
_∞
Analysis, and the state feedback design for continuous-time descriptor systems with norm-bounded uncertainties included in all system matrices. The result not only extends the current research of considering uncertainty only at the state derivative matrix to the more general case, but also provides LMI-based solutions to the addressed issues. Numerical examples are included to illustrate the efficient verification of the derived results.