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20242026
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math.OC2026

Closed-loop solvability of infinite-horizon stochastic linear-quadratic problem for Markov regime-switching jump-diffusion system

Kai Ding, Fan Wu, Jie Xiong +1

This paper investigates a class of stochastic linear-quadratic (SLQ) control problems over an infinite horizon for Markov regime-switching jump-diffusion systems. Unlike classical…

math.OC2025

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system

Xun Li, Fan Wu, Xin Zhang

This paper investigates the long-time behavior of zero-sum stochastic linear-quadratic (SLQ) differential games within Markov regime-switching diffusion systems and establishes the…

math.OC2025

Open-loop and closed-loop solvabilities for zero-sum stochastic linear quadratic differential games of Markovian regime switching system

Fan Wu, Xun Li, Xin Zhang

This paper investigates zero-sum stochastic linear quadratic (SLQ) differential games with Markovian jumps. Open-loop and closed-loop solvabilities are studied by employing a new `…

math.OC2024

Stochastic linear quadratic optimal control problems with regime-switching jumps in infinite horizon

Fan Wu, Xun Li, Xin Zhang

This paper investigates a stochastic linear-quadratic (SLQ, for short) control problem regulated by a time-invariant Markov chain in infinite horizon. Under the -stability fra…

math.OC2024

Zero-sum stochastic linear-quadratic Stackelberg differential games of Markovian regime-switching system

Fan Wu, Xun Li, Jie Xiong +1

This paper investigates a zero-sum stochastic linear-quadratic (SLQ, for short) Stackelberg differential game problem, where the coefficients of the state equation and the weightin…

math.OC2024

Stochastic linear-quadratic differential game with Markovian jumps in an infinite horizon

Fan Wu, Xun Li, Jie Xiong +1

This paper investigates a two-person non-homogeneous linear-quadratic stochastic differential game (LQ-SDG, for short) in an infinite horizon for a system regulated by a time-invar…