On the existence of approximately coprime factorizations for retarded systems
نویسندگان
چکیده
This note establishes a result linking algebraically coprime factorizations of transfer matrices of delay systems to approximately coprime factorizations in the sense of distributions. The latter have been employed by the second author in the study of function-space controllability for such systems.
منابع مشابه
Coprime Factorizations of Miso Fractional Time-delay Systems
In this paper we consider MISO fractional systems with delays that are given by their transfer function. For a large class of such systems, we determine left coprime factorizations as well as associated Bézout factors, and guarantee the existence of right coprime factorizations.
متن کاملA Generalization of the Youla-kučera Parametrization for Mimo Stabilizable Systems
The purpose of this paper is to give new necessary and sufficient conditions for internal stabilizability and existence of left/right/doubly coprime factorizations for linear MIMO systems. In particular, we generalize the YoulaKučera parametrization of all stabilizing controllers for every internally stabilizable MIMO plant which does not necessarily admit doubly coprime factorizations.
متن کامل“Stabilizing” the stabilizing controllers
The main purpose of this paper is to revisit the internal/simultaneous/robust stabilization problems without assuming the existence of doubly coprime factorizations for the transfer matrices. Indeed, it has been recently shown in the literature that an internally stabilizable does not generally admit doubly coprime factorizations. Firstly, we give new necessary and sufficient conditions for int...
متن کاملConsistency of Open-Loop Experimental Frequency- Response Data with Coprime Factor Plant Models
The model/data consistency problem for coprime factorizations considered here is this: Given some possibly noisy frequency-response data obtained by running open-loop experiments on a system, show that these data are consistent with a given family of perturbed coprime factor models and a timedomain L1 noise model. In the noise-free open-loop case, the model/data consistency problem boils down t...
متن کاملOptimal Control on the Doubly Infinite Continuous Time Axis and Coprime Factorizations
We study the problem of existence of weak right or left or strong coprime factorizations in H-infinity over the right half-plane of an analytic function defined in some subset of the right half-plane. We give necessary and sufficient conditions for the existence of such coprime factorizations in terms of an optimal control problem over the doubly infinite continuous-time axis. In particular, we...
متن کامل