Title :
A new approach to synthesis problems in linear system theory
Author_Institution :
Rice University, Houston, TX, USA
fDate :
5/1/1985 12:00:00 AM
Abstract :
We consider a rational nonlinear equation which is involved in the general synthesis (design) problem of linear multivariable systems. The complete solution of this equation, subject to causality, stability, and minimality constraints, is provided. Formal power series and, in particular, the theory of partial realizations, prove of central importance for the design problem.
Keywords :
Linear systems; Rational matrices; Realization theory; Linear systems; MIMO; Matrices; Nonlinear equations; Observers; Output feedback; Stability; State estimation; State feedback; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103969