Geodesic
On the observability of fuzzy second order control systems
Kybernetika, Tome 39 (2003) no. 4, pp. 493-506 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.
In this paper, the observability of fuzzy logic second order control system is studied from the aspect of fuzzy differential equations. The fuzzy observability in the weak sense is created using the concept of “likelihood” to indicate on which level and along which solution the state is most likely observable. One of the initial state range has been derived with the given input and output. The result generalizes the previous results.
Classification : 93B07, 93C42
Keywords: fuzzy differential equation; second order control system; fuzzy solution; likelihood 
@article{KYB_2003_39_4_a6,
     author = {Park, Jong Yeoul and Balasubramaniam, P. and Kim, Hyun Min},
     title = {On the observability of fuzzy second order control systems},
     journal = {Kybernetika},
     pages = {493--506},
     year = {2003},
     volume = {39},
     number = {4},
     mrnumber = {2024528},
     zbl = {1249.93022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003_39_4_a6/}
}
TY  - JOUR
AU  - Park, Jong Yeoul
AU  - Balasubramaniam, P.
AU  - Kim, Hyun Min
TI  - On the observability of fuzzy second order control systems
JO  - Kybernetika
PY  - 2003
SP  - 493
EP  - 506
VL  - 39
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_2003_39_4_a6/
LA  - en
ID  - KYB_2003_39_4_a6
ER  - 
%0 Journal Article
%A Park, Jong Yeoul
%A Balasubramaniam, P.
%A Kim, Hyun Min
%T On the observability of fuzzy second order control systems
%J Kybernetika
%D 2003
%P 493-506
%V 39
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_2003_39_4_a6/
%G en
%F KYB_2003_39_4_a6
Park, Jong Yeoul; Balasubramaniam, P.; Kim, Hyun Min. On the observability of fuzzy second order control systems. Kybernetika, Tome 39 (2003) no. 4, pp. 493-506. http://geodesic.mathdoc.fr/item/KYB_2003_39_4_a6/

[1] Balasubramaniam P., Park J. Y.: Controllability for the nonlinear fuzzy neutral Volterra integrodifferential equations. Preprint

[2] Bressan A.: The most likely path of a differential inclusion. J. Differential Equations 88 (1990), 155–174 | DOI | MR | Zbl

[3] Cesari L.: Optimization – Theory and Application. Springer, Berlin 1983 | MR

[4] Ding Z., Ma, M., Kandel A.: On the observability of fuzzy dynamical system (I). Fuzzy Sets and Systems 88 (1990), 155–174

[5] Dunford N., Schwartz J. T.: Linear Operators, Part I. Wiley, New York – London 1958 | MR | Zbl

[6] Györi I., Wu J.: A neutral equation arising from compartmental systems with pipes. J. Dynamics Differential Equations 3 (1991), 289–311 | DOI | MR | Zbl

[7] Kaleva O.: Fuzzy differential equations. Fuzzy Sets and Systems 24 (1987), 301–317 | DOI | MR | Zbl

[9] Seikkala S.: On the fuzzy initial value problem. Fuzzy Sets and Systems 24 (1987), 319–330 | DOI | MR | Zbl