Some Kinds of Sheaf Control Problems for Control Systems
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.
Keywords:
Control Systems,
Sheaf Solutions,
Control Theory
Cite this paper:
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.
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.