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Title: Kernel behaviors on time scales
Author: Brás, Isabel
Pawłuszewicz, Ewa
Keywords: Dynamical system on time scales
Delta differential equations
Behavioral systems
Kernel representations
Equivalence of representations
Issue Date: Jul-2012
Publisher: Associação Portuguesa de Controlo Automático
Abstract: This paper is a first attempt to introduce the behavioral approach into dynamical systems define on a time scale. The notion of kernel behavior on a time scale as the kernel of a delta differential matrix operator is introduced. Basic properties, as surjectivity and injectivity, of this operator are studied. A characterization of equivalent kernel representations is given. Additionally, the question whether a behavior that admits a representation with auxiliary variables is also a kernel behavior is analyzed.
Peer review: yes
ISBN: 978-972-97025-3-2
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Appears in Collections:CIDMA - Comunicações

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