Analysis of some dual properties in discrete dynamic systems
International Journal of Applied Mathematics and Computer Science (2006)
- Volume: 16, Issue: 3, page 297-308
- ISSN: 1641-876X
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topZhirabok, 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
top- Arbib M. and Manes E. (1974): Foundation of system theory: Decomposable systems. - Automatica, Vol. 10, No. 2, pp. 285-302. Zbl0294.93002
- Bellman R. (1960): Introduction to Matrix Analysis. - New York: McGraw-Hill Company, Inc. Zbl0124.01001
- Gill A. (1971): Linear Sequential Circuits. Analysis, Synthesis, and Application. - New York: McGraw-Hill.
- Goldblad R. (1979): Topoi. The Categorical Analysis of Logic. - Amsterdam: North-Holland.
- Hermann R. and Krener A. (1977): Nonlinear controllability and observability. - IEEE Trans. Automat. Contr., Vol. AC-22, No. 5, pp. 728-740. Zbl0396.93015
- Korn G.A. and Korn T.M. (1961): Mathematical Handbook. - New York: McGraw-Hill.
- Lankaster P. (1969): Theory of Matrices. - London: Academic Press.
- Kwakernaak H. and Sivan R. (1972): Linear Optimal Control Systems. - New York: Wiley. Zbl0276.93001
- Michtchenko A. and Zhirabok A. (2001): Application of invariance for error correction in nonlinear systems. - Proc. 12-th Int. Symp. s Danube Adria Association for Automation and Manufacturing, Vienna, Austria, pp. 297-298.
- Peterson W. and Weldon E. (1972): Error-Correcting Codes. - London: Mita Press. Zbl0251.94007
- Shumsky A. and Zhirabok A. (2005): Nonlinear diagnostic filter design: Algebraic and geometric points of view. - Proc. 16-th IFAC World Congress,Prague, Czech Republic, (on CD-ROM). Zbl1334.93081
- 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.
- Zhirabok A. (1998): Observability and controllability properties of nonlinear dynamic systems. - Int. J. Comput. Syst. Sci., Vol. 37, No. 1, pp. 1-4. Zbl0918.93006
- Zhirabok A. (2000): On canonical decomposition of nonlinear dynamic systems, In: Nonlinear Control in the Year 2000, Vol. 2, (F. Lamnabhi-Lagarrigue, A. Isidori, W. Respondek, Eds.). - London: Springer, pp. 555-564. Zbl0971.93034
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