scholarly journals OPTIMAL CONTROL PROBLEMS ON TIME SCALES DESCRIBED BY VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES

2016 ◽  
Vol 38 (2) ◽  
pp. 740
Author(s):  
Iguer Santos

In this work we consider two class of optimal control problems on time scales described by Volterra integral equations on time scales. We have established the existence of solutions for these two class of optimal control problems.

2015 ◽  
Vol 5 (3) ◽  
pp. 613-649 ◽  
Author(s):  
Yufeng Shi ◽  
◽  
Tianxiao Wang ◽  
Jiongmin Yong ◽  
◽  
...  

2016 ◽  
Vol 17 (1) ◽  
pp. 81
Author(s):  
Iguer L D Santos

This paper considers a class of optimal control problems on time scales described by dynamic equations on time scales. We have established sufficient conditions for theexistence of optimal controls.


2011 ◽  
Vol 02 (02) ◽  
pp. 121-125 ◽  
Author(s):  
Mohammad Hadi Noori Skandari ◽  
Hamid Reza Erfanian ◽  
Ali Vahidian Kamyad

2014 ◽  
Vol 2014 ◽  
pp. 1-16
Author(s):  
Qingmeng Wei ◽  
Xinling Xiao

This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints. Using Ekeland's variational principle, we obtain one kind of variational inequalities. Then, by dual method, we derive a stochastic maximum principle which gives the necessary conditions for the optimal controls.


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