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Linear equations over the ring of stable transfer functions
Author: Lidinský Jiří
The task to find all stabilizable controllers for a given linear time-invariant system leads to solving Bezout identity in the ring of proper stable rational functions or matrices. We tested numerical properties of well known algorithm that is based on transformation to the polynomial problem. Unfortunately this method handle only SISO arguments. Therefore we developed a new algorithm based on state-space description of the system for solving Bezout identity and a new algorithm for solving doubly coprime factorization. Description of this algorithms together with testing numerical properties is the objective of this work.
- Lidinský Jiří, mailto:jlidinsky@seznam.cz
