Construction of Reachable Sets of Two-Dimensional Nonlinear Controlled System By The Pixel Method

2016 ◽  
Vol 27 (4) ◽  
pp. 444-459
Author(s):  
A. O. Novikova
2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Jian-Ping Sun ◽  
Qiu-Yan Ren ◽  
Ya-Hong Zhao

In this paper, we are concerned with a class of optimal control problem governed by nonlinear first order dynamic equation on time scales. By imposing some suitable conditions on the related functions, for any given control policy, we first obtain the existence of a unique solution for the nonlinear controlled system. Then, we study the existence of an optimal solution for the optimal control problem.


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