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|Title: ||State space approach to behavioral systems theory: the Dirac-Bergmann algorithm|
|Authors: ||SULE, VR|
|Issue Date: ||2003|
|Publisher: ||ELSEVIER SCIENCE BV|
|Citation: ||SYSTEMS & CONTROL LETTERS, 50(2), 149-162|
|Abstract: ||This paper develops an approach to behavioral systems theory in which a state space representation of behaviors is utilised. This representation is a first order hybrid representation of behaviors called pencil representation. An algorithm well known after Dirac and Bergmann (DB) is shown to be central in obtaining a constraint free and observable (CFO) state space representation of a behavior. Results and criteria for asymptotic stability, controllability, inclusions and Markovianity of behaviors are derived in terms of the matrices of this representation which involve linear algebraic processes in their computation. (C) 2003|
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