منابع مشابه
Normalized doubly coprime factorizations for infinite-dimensional linear systems
We obtain explicit formulas for normalized doubly coprime factorizations of the transfer functions of the following class of linear systems: the input and output operators are vector-valued, but bounded, and the system is input and output stabilizable. Moreover, we give explicit formulas for the Bezout factors. Using a reciprocal approach we extend our results to a larger class where the input ...
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 کاملRecursive computation of coprime factorizations
We propose general computational procedures based on descriptor state-space realizations to compute coprime factorizations of rational matrices with minimum degree denominators. Enhanced recursive pole dislocation techniques are developed, which allow to successively place all poles of the factors into a given “good” domain of the complex plane. The resulting McMillan degree of the denominator ...
متن کاملGeneral Parametrization of Stabilizing Controllers with Doubly Coprime Factorizations over Commutative Rings
In this paper, we consider the factorization approach to control systems with plants admitting coprime factorizations. Further, the set of stable causal transfer functions is a general commutative ring. The objective of this paper is to present that even in the case where the set of stable causal transfer functions is a general commutative ring, the parametrization of stabilizing controllers is...
متن کاملA polynomial matrix method for computing stable rational doubly coprime factorizations
This paper proposes a new method for computing stable rational doubly coprime factorizations from a given transfer matrix. In contrast to the well-known method which requires a state space representation, the proposed method makes full use of polynomial matrices, and the whole operation is carried out directly in the frequency domain. Furthermore, the paper clarifies the meaning of the obtained...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1989
ISSN: 0024-3795
DOI: 10.1016/0024-3795(89)90672-1