Hamilton–Jacobi–Bellman Equations and Approximate Dynamic Programming on Time Scales

Author(s):  
J. Seiffertt ◽  
S. Sanyal ◽  
D.C. Wunsch
Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Yingjun Zhu ◽  
Guangyan Jia

Bellman optimality principle for the stochastic dynamic system on time scales is derived, which includes the continuous time and discrete time as special cases. At the same time, the Hamilton–Jacobi–Bellman (HJB) equation on time scales is obtained. Finally, an example is employed to illustrate our main results.


2012 ◽  
Vol 34 (5) ◽  
pp. A2625-A2649 ◽  
Author(s):  
Simone Cacace ◽  
Emiliano Cristiani ◽  
Maurizio Falcone ◽  
Athena Picarelli

2009 ◽  
Vol 49 (9-10) ◽  
pp. 2019-2028 ◽  
Author(s):  
Zaidong Zhan ◽  
Wei Wei ◽  
Honglei Xu

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