Some Kinds of Sheaf Control Problems for Control Systems

DOI: 10.4236/am.2012.31007   PDF   HTML   XML   4,101 Downloads   6,912 Views   Citations


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.

Share and Cite:

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.


[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/
[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.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.