Search Results - Dynamic programming in optimal control and differential games

Prescribed-time fault-tolerant control for affine nonlinear systems based on zero-sum differential games

Authors: Pengxin YANG Shuang ZHANG Xinbo YU

Source: 工程科学学报, Vol 47, Iss 12, Pp 2527-2538 (2025)

Subject Terms: zero-sum differential games, prescribed-time, actuator faults, affine nonlinear systems, adaptive dynamic programming, Mining engineering. Metallurgy, TN1-997, Environmental engineering, TA170-171

File Description: electronic resource

Relation: https://doaj.org/toc/2095-9389

Access URL: https://doaj.org/article/62247b584aa04d7996fba4c75cfaab89

Event-Driven-Modular Adaptive Backstepping Optimal Control for Strict-Feedback Systems Through Zero-Sum Differential Games

Authors: Yuehui Ji Hailiang Zhou Bing Bai

Source: IEEE Access, Vol 8, Pp 126511-126522 (2020)

Subject Terms: Adaptive backstepping optimal, event triggering control, zero-sum differential game, adaptive dynamic programming (ADP), neural network (NN), Electrical engineering. Electronics. Nuclear engineering, TK1-9971

File Description: electronic resource

Relation: https://ieeexplore.ieee.org/document/9138394/; https://doaj.org/toc/2169-3536

Access URL: https://doaj.org/article/63f701373ccc4fa180a60c3dd0a483db

Bilayer nonzero-sum differential game-based optimal control of modular robot manipulator for human–robot collaboration.

Authors: Cui, Yiming An, Tianjiao Dong, Bo et al.

Source: European Journal of Control. May2025, Vol. 83, pN.PAG-N.PAG. 1p.

Subject Terms: Differential games, Nash equilibrium, Dynamic programming, Fuzzy logic, Logic programming, Manipulators (Machinery)

Event-based optimal guidance laws design for missile-target interception systems using fuzzy dynamic programming approach.

Authors: Duan, Dandan Liu, Chunsheng

Source: ISA Transactions. Sep2022:Part B, Vol. 128, p243-255. 13p.

Subject Terms: Dynamic programming, Adaptive fuzzy control, Zero sum games, Cost functions, Fuzzy systems, Differential games

Optimal control and zero-sum differential game for Hurwicz model considering singular systems with multifactor and uncertainty.

Authors: Li, Xi Song, Qiankun Zhao, Zhenjiang et al.

Source: International Journal of Systems Science. May2022, Vol. 53 Issue 7, p1416-1435. 20p.

Subject Terms: *DYNAMIC programming, *DIFFERENTIAL equations, DIFFERENTIAL games, DYNAMICAL systems, UNCERTAIN systems

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

Authors: Sun, Jingrui Yong, Jiongmin

Source: SIAM Journal on Control & Optimization. 2025, Vol. 63 Issue 6, p3961-3989. 29p.

Subject Terms: *ZERO sum games, *GAME theory, *DYNAMIC programming, *NASH equilibrium, *OPTIMAL control theory, DIFFERENTIAL games, ASYMPTOTIC expansions

Critic learning control via zero-sum differential game for affine formation maneuver of multi-agent systems with cyber-attacks.

Authors: Maaruf, Muhammad El-Ferik, Sami Abdulaziz Saif, Abdulwahed

Source: International Journal of Systems Science. Aug2024, Vol. 55 Issue 11, p2252-2268. 17p.

Subject Terms: *ZERO sum games, *CYBER physical systems, *NASH equilibrium, *DYNAMIC programming, DIFFERENTIAL games, MULTIAGENT systems

Optimal control and non-zero-sum differential game for Hurwicz model considering uncertain dynamic systems with multiple input delays.

Authors: Li, Xi Song, Qiankun Liu, Yurong

Source: International Journal of Systems Science. Jun2023, Vol. 54 Issue 8, p1676-1693. 18p.

Subject Terms: *NASH equilibrium, *DIFFERENTIAL equations, *OPTIMAL control theory, DIFFERENTIAL games, DYNAMICAL systems, UNCERTAIN systems

Application of Differential Games in Mechatronic Control System

Authors: Z. Hendzel P. Penar

Source: International Journal of Applied Mechanics and Engineering, Vol 21, Iss 4, Pp 867-878 (2016)

Subject Terms: differential games, optimal control, approximate dynamic programming, Mechanical engineering and machinery, TJ1-1570

File Description: electronic resource

Relation: https://www.ijame-poland.com/Application-of-Differential-Games-in-Mechatronic-Control-System,167094,0,2.html; https://doaj.org/toc/1734-4492; https://doaj.org/toc/2353-9003

Access URL: https://doaj.org/article/aadad4a3722c4141bb42ac07e3b4395c

Two-Level Game-Based Distributed Optimal Fault-Tolerant Control for Nonlinear Interconnected Systems.

Authors: Xu, Yuhang Jiang, Bin Yang, Hao

Source: IEEE Transactions on Neural Networks & Learning Systems; Nov2020, Vol. 31 Issue 11, p4892-4906, 15p

Subject Terms: NONLINEAR systems, NASH equilibrium, DIFFERENTIAL games, FAULT-tolerant computing, DYNAMIC programming, COST functions, NONLINEAR control theory, OPTIMAL control theory

Robust Optimal Control for Disturbed Nonlinear Zero-Sum Differential Games Based on Single NN and Least Squares.

Authors: Song, Ruizhuo Li, Junsong Lewis, Frank L.

Source: IEEE Transactions on Systems, Man & Cybernetics. Systems. Nov2020, Vol. 50 Issue 11, p4009-4019. 11p.

Subject Terms: *ALGORITHMS, DIFFERENTIAL games, LEAST squares, GAUSS-Newton method, ONLINE algorithms, ROBUST control

Neural network optimal control for nonlinear system based on zero-sum differential game

Authors: Xingjian, Fu Zizheng, Li

Subject Terms: keyword:zero-sum game, keyword:nonlinear system, keyword:neural network, keyword:approximate dynamic programming, msc:91A80, msc:93C10, msc:93D21

File Description: application/pdf

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Industry Appl. 56 (2020), 1940-1952.; reference:[6] Federico, S., Tacconi, E.: Dynamic programming for optimal control problems with delays in the control variable.SIAM J. Control Optim. 52 (2014), 1203-1236.; reference:[7] Garcia, Y. H., Gonzalez-Hernandez, J.: Discrete-time Markov control processes with recursive discount rates.Kybernetika 52 (2016), 403-426.; reference:[8] Gromov, D., Gromova, E.: On a class of hybrid differential games.Dynamic Games Appl. 7 (2017), 266-288.; reference:[9] Hua, W., Meng, Q., Zhang, J.: Differential game guidance law for dual and bounded controlled missiles.J. Bejing Univ. Aeronaut. Astronaut. 42 (2016), 1851-1856.; reference:[10] Isaacs, R.: Differential Games.John Wiley and Sons, New York 1965.; reference:[11] Krasnosielska-Kobos, A.: Construction of Nash equilibrium based on multiple stopping problem in multi-person game.Math. Methods Oper. Res. 83 (2016), 53-70.; reference:[12] Lei, L., Yan-Jun, L., Aiqing, Ch., Shaocheng, T., Chen, C. L. P.: Integral barrier Lyapunov function based adaptive control for switched nonlinear systems.Science China Inform. Sci. 63 (2020), 132203.; reference:[13] Lei, L., Yan-Jun, J., Dapeng, L., Shaocheng, T., Zhanshan, W.: Barrier Lyapunov function based adaptive fuzzy FTC for switched systems and its applications to resistance inductance capacitance circuit system.IEEE Trans. Cybernet. 50 (2020), 3491-3502.; reference:[14] Li, J.-M., Zhu, H.-N.: Nash differential games for delayed nonlinear stochastic systems with state-and control-dependent noise.J. Guangdong Univ. Technol. 35 (2018), 41-45.; reference:[15] Liu, D. R., Li, H. L., Wang, D.: Neural-network-based zero-sum game for discrete time nonlinear systems via iterative adaptive dynamic programming algorithm.Neurocomputing 110 (2013), 92-100.; reference:[16] Majid, M., Sani, Seyed Kamal Hosseini: A Novel distributed optimal adaptive control algorithm for nonlinear multi-agent differential graphical games.IEEE/CAA J. Automat. Sinica 5 (2018), 331-341.; reference:[17] Marzieh, M., Karimi, B., Mahootchi, M.: A differential Stackelberg game for pricing on a freight transportation network with one dominant shipper and multiple oligopolistic carriers.Scientia Iranica 23 (2016), 2391-2406.; reference:[18] Moon, J.: Necessary and sufficient conditions of risk - sensitive optimal control and differential games for stochastic differential delayed equations.Int. J. Robust Nonlinear Control 29 (2019), 4812-4827.; reference:[19] Mu, C., Wang, K.: Approximate-optimal control algorithm for constrained zero-sum differential games through event-triggering mechanism.Nonlinear Dynamics 95 (2019), 2639-2657.; reference:[20] Nash, J. F.: Equilibrium points in n-person games.Proc. Nat. Acad. Sci. USA 36 (1950), 1, 48-49. 10.1073/pnas.36.1.48; reference:[21] Nash, J.: Non-cooperative games.Ann. 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Availability: http://hdl.handle.net/10338.dmlcz/149206

On the State Constraint Problem for Differential Games

Authors: Koike, Shigeaki

Source: Indiana University Mathematics Journal, 1995 Jul 01. 44(2), 467-487.

Access URL: https://www.jstor.org/stable/24898607

Optimal Synchronization of Unidirectionally Coupled FO Chaotic Electromechanical Devices With the Hierarchical Neural Network.

Authors: Luo, Shaohua Lewis, Frank L. Song, Yongduan et al.

Source: IEEE Transactions on Neural Networks & Learning Systems; Mar2022, Vol. 33 Issue 3, p1192-1202, 11p

Subject Terms: ELECTROMECHANICAL devices, SYNCHRONIZATION, DIFFERENTIAL games, DYNAMIC programming, MEMBERSHIP functions (Fuzzy logic)

Representation Formulas for Solutions of Isaacs Integro-PDE

Authors: Koike, Shigeaki Święch, Andrzej

Source: Indiana University Mathematics Journal, 2013 Jan 01. 62(5), 1473-1502.

Access URL: https://www.jstor.org/stable/24904188

IsoCost-Based Dynamic Programming for Solving Infinite Horizon Optimal Control Problems

Authors: Rahimi, Saeed Lafmejani, Amir Salimi Kalhor, Ahmad

Index Terms: Electrical Engineering and Systems Science - Systems and Control, Dynamic programming in optimal control and differential games(49L20), text

URL: http://arxiv.org/abs/2209.06436

Model-Free Adaptive Optimal Control for Unknown Nonlinear Multiplayer Nonzero-Sum Game.

Authors: Wei, Qinglai Zhu, Liao Song, Ruizhuo et al.

Source: IEEE Transactions on Neural Networks & Learning Systems; Feb2022, Vol. 33 Issue 2, p879-892, 14p

Subject Terms: ADAPTIVE control systems, MULTIPLAYER games, DYNAMIC programming, DISCRETE-time systems, HAMILTON-Jacobi equations, NONLINEAR systems

Privacy-preserving ADP for secure tracking control of AVRs against unreliable communication.

Authors: Zhang, Kun Han, Kezhen Hu, Zhijian et al.

Source: Frontiers in Neurorobotics; 2025, p1-11, 11p

Subject Terms: AUTONOMOUS robots, DYNAMIC programming, HAMILTON-Jacobi-Bellman equation, AUTONOMOUS vehicles, ALGORITHMS, ROBOT programming, VEHICULAR ad hoc networks

Neural network optimal control for tripartite UAV confrontation systems based on fuzzy differential game.

Authors: Fu X Yan H

Source: Scientific reports [Sci Rep] 2024 Sep 16; Vol. 14 (1), pp. 21547. Date of Electronic Publication: 2024 Sep 16.

Publication Type: Journal Article

Journal Info: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: PubMed not MEDLINE; MEDLINE

Adaptive Optimal Control for Stochastic Multiplayer Differential Games Using On-Policy and Off-Policy Reinforcement Learning.

Authors: Liu, Mushuang Wan, Yan Lewis, Frank L. et al.

Source: IEEE Transactions on Neural Networks & Learning Systems; Dec2020, Vol. 31 Issue 12, p5522-5533, 12p

Subject Terms: DIFFERENTIAL games, STOCHASTIC control theory, REINFORCEMENT learning, MULTIPLAYER games, ADAPTIVE control systems, EQUILIBRIUM

Geographic Terms: IRELAND