Cobb, Daniel State feedback impulse elimination for singular systems over a Hermite domain. (English) Zbl 1125.93013 SIAM J. Control Optim. 44, No. 6, 2189-2209 (2006). Summary: We reduce the problem of impulse elimination via state feedback in singular differential equations to algebra. Our results are developed for systems over an arbitrary Hermite domain. We show that the established theories for the time-invariant and the real analytic time-varying settings can be unified in this way. Besides the constant and real analytic functions, several other function rings are considered. Our algebraic theory is applied to these cases, providing solutions to the impulse elimination problem for classes of systems not previously studied. In particular, our work allows the restriction of the feedback matrix to certain function rings. Cited in 10 Documents MSC: 93B25 Algebraic methods 93B52 Feedback control 93B55 Pole and zero placement problems Keywords:singular systems; impulse elimination; algebraic systems; state feedback PDFBibTeX XMLCite \textit{D. Cobb}, SIAM J. Control Optim. 44, No. 6, 2189--2209 (2006; Zbl 1125.93013) Full Text: DOI