| Article ID: | iaor201112240 |
| Volume: | 32 |
| Issue: | 5 |
| Start Page Number: | 505 |
| End Page Number: | 526 |
| Publication Date: | Sep 2011 |
| Journal: | Optimal Control Applications and Methods |
| Authors: | Stefanovski Jovan |
| Keywords: | numerical analysis, matrices, optimization, programming: quadratic, programming: nonlinear |
We present a structure-preserving numerical algorithm, based on using orthogonal matrices, and sufficient conditions for LQ control of rectangular descriptor systems. The sufficient conditions are quite general: stabilizability, impulse controllability, generalizations of detectability and impulse observability. The solution in the case of wide descriptor system differs from the solution of tall descriptor system.