Pareto Optima for a Class of Singular Control Games

Interbank lending with benchmark rates: Pareto optima for a class of singular control games

Mathematical Finance ◽

10.1111/mafi.12325 ◽

2021 ◽

Author(s):

Rama Cont ◽

Xin Guo ◽

Renyuan Xu

Keyword(s):

Singular Control ◽

Pareto Optima ◽

Interbank Lending

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Routing and Singular Control for Queueing Networks in Heavy Traffic

10.21236/ada208568 ◽

1989 ◽

Author(s):

Luiz F. Martins ◽

Harold J. Kushner

Keyword(s):

Queueing Networks ◽

Heavy Traffic ◽

Singular Control

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Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

Measurement and Control ◽

10.1177/00202940211028613 ◽

2021 ◽

pp. 002029402110286

Author(s):

Pu Yang ◽

Peng Liu ◽

ChenWan Wen ◽

Huilin Geng

Keyword(s):

Fault Tolerant ◽

Sliding Mode ◽

Singular Control ◽

Fault Tolerant Control ◽

State Observer ◽

Extended State Observer ◽

Extended State ◽

Terminal Sliding Mode ◽

Fast Terminal Sliding Mode ◽

Terminal Sliding Surface

This paper focuses on fast terminal sliding mode fault-tolerant control for a class of n-order nonlinear systems. Firstly, when the actuator fault occurs, the extended state observer (ESO) is used to estimate the lumped uncertainty and its derivative of the system, so that the fault boundary is not needed to know. The convergence of ESO is proved theoretically. Secondly, a new type of fast terminal sliding surface is designed to achieve global fast convergence, non-singular control law and chattering reduction, and the Lyapunov stability criterion is used to prove that the system states converge to the origin of the sliding mode surface in finite time, which ensures the stability of the closed-loop system. Finally, the effectiveness and superiority of the proposed algorithm are verified by two simulation experiments of different order systems.

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Ergodic control of diffusions with random intervention times

Journal of Applied Probability ◽

10.1017/jpr.2020.80 ◽

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.

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