Paper Citation Record · LEDGER

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

As of 6 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.09358.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.09358 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:21:42.403174Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

30 of 30 outbound references displayed

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Outbound references

Observation 20c79bde-aca0-42a2-a67e-eb6b8cca7e70 · outbound

This paper cites A weak dynamic programming principle for zero-sum stochastic differential games with unbounded controls.SIAM Journal on Control and Optimization, 51(3): 2036–2080, 2013.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system A weak dynamic programming principle for zero-sum stochastic differential games with unbounded controls.SIAM Journal on Control and Optimization, 51(3): 2036–2080, 2013

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.426109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4278536-76b6-4c1b-a41a-3bb32b3a63f0 · outbound

This paper cites On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems.SIAM Journal on Control and Optimization, 58(2): 1077–1102, 2020.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system On the turnpike property and the receding-horizon method for linear-quadratic optimal control problems.SIAM Journal on Control and Optimization, 58(2): 1077–1102, 2020

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.461278Z

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Observation c8f06662-a340-4d90-a50a-560f9bdbafd9 · outbound

This paper cites Stochastic differential games and viscosity solutions of Hamilton- Jacobi-Bellman-Isaacs equations.SIAM Journal on Control and Optimization, 47(1):444–475, 2008.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Stochastic differential games and viscosity solutions of Hamilton- Jacobi-Bellman-Isaacs equations.SIAM Journal on Control and Optimization, 47(1):444–475, 2008

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.530404Z

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Observation ce9329ff-997d-457f-bca5-54b0934d5a25 · outbound

This paper cites An exponential turnpike theorem for dissipative discrete time optimal control problems.SIAM Journal on Control and Optimization, 52(3):1935–1957, 2014.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system An exponential turnpike theorem for dissipative discrete time optimal control problems.SIAM Journal on Control and Optimization, 52(3):1935–1957, 2014

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.628202Z

Source-reported events for the cited work

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Observation 4790a746-b46a-41b9-99c0-82eb676e486e · outbound

This paper cites McGraw-Hill, New York, 1958.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system McGraw-Hill, New York, 1958

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.698148Z

Source-reported events for the cited work

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Observation 56ab82f4-aca2-4557-aa84-3781cdc9a460 · outbound

This paper cites On the existence of value functions of two-player, zero-sum stochastic differential games.Indiana University Mathematics Journal, 38(2):293–314, 1989.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system On the existence of value functions of two-player, zero-sum stochastic differential games.Indiana University Mathematics Journal, 38(2):293–314, 1989

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.781129Z

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Observation 52a13e1b-2159-44c4-95ca-7355494b1816 · outbound

This paper cites Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.SIAM Journal on Control and Optimization, 56(2):1282– 1302, 2018.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.SIAM Journal on Control and Optimization, 56(2):1282– 1302, 2018

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.852132Z

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Observation 2da801f5-2b15-4375-a78f-0fddcb0e093d · outbound

This paper cites Zero-sum stochastic differential games and backward equations.Systems & Control Letters, 24(4):259–263, 1995.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Zero-sum stochastic differential games and backward equations.Systems & Control Letters, 24(4):259–263, 1995

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:40.918950Z

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Observation ce218a70-76bd-4e24-8b77-da0a0b5b45a7 · outbound

This paper cites Turnpike properties of optimal relaxed control problems.ESAIM: Control, Optimisation and Calculus of Variations, 25:74, 2019.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike properties of optimal relaxed control problems.ESAIM: Control, Optimisation and Calculus of Variations, 25:74, 2019

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.028804Z

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Observation 3f88ae62-2ea6-4f7c-aef8-e40e186b9e10 · outbound

This paper cites Two-player zero-sum stochastic differential games with regime switching.Automatica, 114: 108819, 2020.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Two-player zero-sum stochastic differential games with regime switching.Automatica, 114: 108819, 2020

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.129230Z

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Observation bb47d919-7fe8-4db5-bcab-4630af6b76e8 · outbound

This paper cites Turnpike Property of Stochastic Linear-Quadratic Optimal Control Problems in Large Horizons with Regime Switching I: Homogeneous Cases.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike Property of Stochastic Linear-Quadratic Optimal Control Problems in Large Horizons with Regime Switching I: Homogeneous Cases

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.317413Z

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Observation 98bb0752-f5bf-4942-beb5-ac4d1d259fb2 · outbound

This paper cites Two-person zero-sum linear quadratic stochastic differential games by a Hilbert space method.Journal of Industrial and Management Optimization, 2(1):93–115, 2006.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Two-person zero-sum linear quadratic stochastic differential games by a Hilbert space method.Journal of Industrial and Management Optimization, 2(1):93–115, 2006

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.430086Z

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Observation eeacdb77-b710-4a80-9bcc-b12da126be18 · outbound

This paper cites A model of general economic equilibrium.The Review of Economic Studies, 13(1): 1–9, 1945.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system A model of general economic equilibrium.The Review of Economic Studies, 13(1): 1–9, 1945

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.495831Z

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Observation 444c0edc-631e-4277-bdc4-bf24fbc5a1fc · outbound

This paper cites Long time versus steady state optimal control.SIAM Journal on Control and Optimization, 51(6):4242–4273, 2013.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Long time versus steady state optimal control.SIAM Journal on Control and Optimization, 51(6):4242–4273, 2013

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.612241Z

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Observation 00c8b015-0321-4f04-8d25-7d155ec4bc80 · outbound

This paper cites A mathematical theory of saving.The economic journal, 38(152):543–559, 1928.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system A mathematical theory of saving.The economic journal, 38(152):543–559, 1928

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.771718Z

Source-reported events for the cited work

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Observation 1c4df20c-bbc7-4b55-9a32-20ed03d88161 · outbound

This paper cites The turnpike property in nonlinear optimal control—a geometric approach.Automatica, 134:109939, 2021.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system The turnpike property in nonlinear optimal control—a geometric approach.Automatica, 134:109939, 2021

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.892456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aee5aa98-386e-4a59-a40a-f03a1fedc0b8 · outbound

This paper cites Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control.SIAM Journal on Control and Optimization, 63(2):1432–1457, 2025.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control.SIAM Journal on Control and Optimization, 63(2):1432–1457, 2025

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:41.996598Z

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Observation bf1581e4-95cf-4765-bbab-892724fce57b · outbound

This paper cites Two-person zero-sum stochastic linear-quadratic differential games.SIAM Journal on Control and Optimization, 59(3):1804–1829, 2021.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Two-person zero-sum stochastic linear-quadratic differential games.SIAM Journal on Control and Optimization, 59(3):1804–1829, 2021

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.144596Z

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Observation ca8f18d4-09cd-4dcb-818c-a6cefa5fedfc · outbound

This paper cites Linear quadratic stochastic differential games: Open-loop and closed-loop saddle points.SIAM Journal on Control and Optimization, 52(6):4082–4121, 2014.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Linear quadratic stochastic differential games: Open-loop and closed-loop saddle points.SIAM Journal on Control and Optimization, 52(6):4082–4121, 2014

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.195347Z

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Observation 1c601f55-dc13-432b-ac14-8c079e2c89ed · outbound

This paper cites Long-Time Behavior of Zero-Sum Linear-Quadratic Stochastic Differential Games.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Long-Time Behavior of Zero-Sum Linear-Quadratic Stochastic Differential Games

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.270433Z

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Observation afa512e4-9e35-4bb8-be1d-72db245c4cc1 · outbound

This paper cites Turnpike properties for mean-field linear-quadratic optimal control problems.SIAM Journal on Control and Optimization, 62(1):752–775, 2024.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike properties for mean-field linear-quadratic optimal control problems.SIAM Journal on Control and Optimization, 62(1):752–775, 2024

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.354575Z

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Observation 5d96721d-832c-4db0-beb5-e6780062e930 · outbound

This paper cites Turnpike properties for stochastic linear-quadratic optimal control problems with periodic coefficients.Journal of Differential Equations, 400:189–229, 2024.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike properties for stochastic linear-quadratic optimal control problems with periodic coefficients.Journal of Differential Equations, 400:189–229, 2024

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.367691Z

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Observation 63ff6e4f-d81a-492d-a533-d72ff383153d · outbound

This paper cites Turnpike properties for stochastic linear-quadratic optimal control problems.Chinese Annals of Mathematics, Series B, 43(6):999–1022, 2022.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Turnpike properties for stochastic linear-quadratic optimal control problems.Chinese Annals of Mathematics, Series B, 43(6):999–1022, 2022

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.371988Z

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Observation e474693e-2e64-47fa-84f7-315a4c163024 · outbound

This paper cites The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension.SIAM Journal on Control and Optimization, 63(4):2524–2546, 2025.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension.SIAM Journal on Control and Optimization, 63(4):2524–2546, 2025

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.376272Z

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Observation 2dfda983-f679-438b-9023-4b5903f2df72 · outbound

This paper cites A pontryagin’s maximum principle for non-zero sum differential games of BSDEs with applications.IEEE Transactions on Automatic control, 55(7):1742–1747, 2010.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system A pontryagin’s maximum principle for non-zero sum differential games of BSDEs with applications.IEEE Transactions on Automatic control, 55(7):1742–1747, 2010

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.380489Z

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Observation a194bafe-f453-4cba-975a-f32065aa1e27 · outbound

This paper cites A partial information non-zero sum differential game of backward stochastic differential equations with applications.Automatica, 48(2):342–352, 2012.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system A partial information non-zero sum differential game of backward stochastic differential equations with applications.Automatica, 48(2):342–352, 2012

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.384864Z

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Unavailable: canonical work link unavailable.

Observation 73f6f13d-b131-4b2a-bdf1-bbeb2a829b6d · outbound

This paper cites Stochastic linear-quadratic differential game with Markovian jumps in an infinite horizon.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Stochastic linear-quadratic differential game with Markovian jumps in an infinite horizon

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.389496Z

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Observation 40ccd9de-eb10-408b-902d-b664853a7138 · outbound

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

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

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.394427Z

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Unavailable: canonical work link unavailable.

Observation 0a0a0dc5-f904-4c77-b73e-fc4f6ac897ec · outbound

This paper cites Stochastic linear quadratic optimal control problems with regime- switching jumps in infinite horizon.SIAM Journal on Control and Optimization, 63(2):852–891, 2025.

Turnpike properties for zero-sum stochastic linear quadratic differential games of Markovian regime switching system Stochastic linear quadratic optimal control problems with regime- switching jumps in infinite horizon.SIAM Journal on Control and Optimization, 63(2):852–891, 2025

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.398859Z

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Observation 3c0a3a73-33cc-464a-8f3b-c48dd4eb7055 · outbound

This paper cites an unresolved cited work.

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

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T19:21:42.403174Z

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Pith citing papers

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