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Keywords:
fuzzy differential equation; second order control system; fuzzy solution; likelihood
fuzzy differential equation; second order control system; fuzzy solution; likelihood
Summary:
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.
References:
[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 10.1016/0022-0396(90)90113-4 | MR 1079863 | Zbl 0736.34013
[3] Cesari L.: Optimization – Theory and Application. Springer, Berlin 1983 MR 0688142
[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 1009162 | Zbl 0635.47001
[6] Györi I., Wu J.: A neutral equation arising from compartmental systems with pipes. J. Dynamics Differential Equations 3 (1991), 289–311 DOI 10.1007/BF01047711 | MR 1109438 | Zbl 0729.34061
[7] Kaleva O.: Fuzzy differential equations. Fuzzy Sets and Systems 24 (1987), 301–317 DOI 10.1016/0165-0114(87)90029-7 | MR 0919058 | Zbl 0646.34019
[9] Seikkala S.: On the fuzzy initial value problem. Fuzzy Sets and Systems 24 (1987), 319–330 DOI 10.1016/0165-0114(87)90030-3 | MR 0919059 | Zbl 0643.34005
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