Kernel behaviors on time scales
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...
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| Format: | conferenceObject |
| Language: | eng |
| Published: |
2014
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| Online Access: | http://hdl.handle.net/10773/12448 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/12448 |
| Summary: | 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. |
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