Some Kinds of Sheaf Control Problems for Control Systems

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DOI: 10.4236/am.2012.31007   PDF   HTML   XML   4,091 Downloads   6,900 Views   Citations

Abstract

Recently, the field of differential equations has been studying in a very abstract method. Instead of considering the behaviour of one solution of a differential equation, one studies its sheaf-solutions in many kinds of properties, for example, the problems of existence, comparison,... of sheaf solutions. In this paper we study some of the problems of controllability for sheaf solutions of control systems.

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N. Phu and P. Tri, "Some Kinds of Sheaf Control Problems for Control Systems," Applied Mathematics, Vol. 3 No. 1, 2012, pp. 39-44. doi: 10.4236/am.2012.31007.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] A. D. Ovsyannikov, “Mathematical Methods in Sheaf Controls,” Leningrad University Pub., Saint Petersburg 1980.
[2] N. D. Phu and T. T. Tung, “Some Properties of Sheaf- Solutions of Sheaf Fuzzy Control Problems,” Electronic Journal of Differential Equations, Vol. 2006, No. 108, 2006, pp. 1-8.
[3] N. D. Phu and T. T. Tung, “Some Results on Sheaf Solutions of Sheaf Set Control Differential Equations,” Journal of Nonlinear Analysis: Theory, Methods & Applications, Vol. 67, No. 5, 2007, pp. 1309-1315. doi:10.1016/j.na.2006.07.018
[4] N. D. Phu, “On the Global Controllable for Set Control Differential Equations,” International Journal of Evolution Equations, Vol. 4, No. 3, 2009, pp. 281-292.

  
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