Minimal state space realizations in Jacobson normal form
نویسندگان
چکیده
منابع مشابه
Minimal Realizations and State
State space transformations in the max-algebraic system theory for Discrete Event Systems (DES) are discussed. Some transformations between diierent realiza-tions of a given impulse response of a DES are suggested and their limitations are illustrated. It is explained why a general result seems hard to prove. R esum e: Nous discutons certaines transformations d' etat dans la th eorie des syst e...
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1.0.1 Description of the problem We consider two m × p strictly proper transfer functions T (s) = C(sI n − A) −1 B, ˆ T (s) = ˆ C(sI k − ˆ A) −1ˆB, (1.1) of respective Mc Millan degrees n and k < n. We are interested in finding the necessary and sufficient conditions for the existence of projecting matrices Z, V ∈ C n×k such that and in characterizing the set of all transfer functionsˆT (s) tha...
متن کاملMinimal realizations and state space transformations in the symmetrized max-algebra
State space transformations in the max-algebraic system theory for Discrete Event Systems (DES) are discussed. Some transformations between different realizations of a given impulse response of a DES are suggested and their limitations are illustrated. It is explained why a general result seems hard to prove. Résumé: Nous discutons certaines transformations d’état dans la théorie des systèmes p...
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Similarity transformations between two di erent minimal realizations of a given impulse response of a Discrete Event System are discussed. In the symmetrized max-algebra an explicit expression can be given for the transformation between an arbitrary minimal realization of a given impulse response and a minimal realization of the same impulse response in a standard form. It is conjectured that a...
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In this paper, an efficient, numerically stable procedure is presented for the computation of irreducible generalized state-space realizations from non-minimal ones. The order reduction is performed by removing successively the uncontrollable and the unobservable parts of the system. Each reduction is accomplished by the same basic algorithm which deflates the uncontrollable part of the system ...
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ژورنال
عنوان ژورنال: International Journal of Control
سال: 2002
ISSN: 0020-7179,1366-5820
DOI: 10.1080/00207170210158277