Analysis of some dual properties in discrete dynamic systems

Aleksey Zhirabok

International Journal of Applied Mathematics and Computer Science (2006)

  • Volume: 16, Issue: 3, page 297-308
  • ISSN: 1641-876X

Abstract

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The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.

How to cite

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Zhirabok, Aleksey. "Analysis of some dual properties in discrete dynamic systems." International Journal of Applied Mathematics and Computer Science 16.3 (2006): 297-308. <http://eudml.org/doc/207794>.

@article{Zhirabok2006,
abstract = {The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.},
author = {Zhirabok, Aleksey},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {duality; algebraic approach; nonlinear and linear systems; reachability; error correction},
language = {eng},
number = {3},
pages = {297-308},
title = {Analysis of some dual properties in discrete dynamic systems},
url = {http://eudml.org/doc/207794},
volume = {16},
year = {2006},
}

TY - JOUR
AU - Zhirabok, Aleksey
TI - Analysis of some dual properties in discrete dynamic systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 3
SP - 297
EP - 308
AB - The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
LA - eng
KW - duality; algebraic approach; nonlinear and linear systems; reachability; error correction
UR - http://eudml.org/doc/207794
ER -

References

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  12. Zhirabok A. and Shumsky A. (1993): A new mathematical technique for nonlinear systems research. - Proc. 12-th IFAC World Congress, Sydney,Australia, Vol. 3, pp. 485-488. 
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