Regularizability Of Linear Descriptor Systems Via Output Plus Partial State Derivative Feedback

Regularizability of a linear descriptor system via output plus partial state derivative feedback is studied. Necessary and sufficient conditions are obtained, which are only dependent upon the open‐loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, “almost all” output plus partial state derivative feedback controllers can regularize a regularizable linear descriptor system. The proposed conditions generalize many existing results. The presented example demonstrates the proposed results.