Constrained least-squares solutions of linear inclusions and singular control problems in Hilbert spaces

1989 ◽  
Vol 19 (1) ◽  
pp. 225-242 ◽  
Author(s):  
Sung J. Lee ◽  
M. Zuhair Nashed
Keyword(s):  
Least Squares ◽  
Hilbert Spaces ◽  
Singular Control ◽  
Control Problems ◽  
Constrained Least Squares

scholarly journals Ergodic control of diffusions with random intervention times

2021 ◽  
Vol 58 (1) ◽  
pp. 1-21
Author(s):  
Harto Saarinen ◽  
Jukka Lempa
Keyword(s):  
Optimal Solution ◽  
Singular Control ◽  
Control Policy ◽  
Control Problems ◽  
Ergodic Control ◽  
Linear Diffusion ◽  
One Dimensional ◽  
And Diffusion ◽  
Independent Poisson Process ◽  
Exact Amount

AbstractWe study an ergodic singular control problem with constraint of a regular one-dimensional linear diffusion. The constraint allows the agent to control the diffusion only at the jump times of an independent Poisson process. Under relatively weak assumptions, we characterize the optimal solution as an impulse-type control policy, where it is optimal to exert the exact amount of control needed to push the process to a unique threshold. Moreover, we discuss the connection of the present problem to ergodic singular control problems, and illustrate the results with different well-known cost and diffusion structures.

Constrained least-squares

1978 ◽  
Vol 3 (1) ◽  
pp. 43-47 ◽  
Author(s):  
S.A. Coons
Keyword(s):  
Least Squares ◽  
Constrained Least Squares
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