Event-Triggered Robust Adaptive Dynamic Programming for Multiplayer Stackelberg–Nash Games of Uncertain Nonlinear Systems

Lin, Mingduo; Zhao, Bo; Liu, Derong

doi:10.1109/tcyb.2023.3251653

IEEE Trans. Cybern.

2024

DOI: 10.1109/tcyb.2023.3251653

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Event-Triggered Robust Adaptive Dynamic Programming for Multiplayer Stackelberg–Nash Games of Uncertain Nonlinear Systems

Mingduo Lin

Bo Zhao

Derong Liu

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Cited by 21 publications

References 43 publications

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Multiplayer hierarchical decision‐making for discrete‐time nonlinear networks of service via value iteration adaptive dynamic programming

Cai,

Gao,

Liu

et al. 2024

Intl J Robust & Nonlinear

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In this article, the multiplayer hierarchical decision‐making problem for discrete‐time nonlinear networks of service is studied from the perspective of Nash–Stackelberg–Nash games. A novel two‐level value iteration adaptive dynamic programming algorithm is developed to solve the coupled nonlinear Hamilton–Jacobi–Bellman equations associated with the game problem, which neither requires the system drift dynamics to be known as a priori nor requests the initial strategies to be admissible. Moreover, both the value function sequences and the strategy sequences generated by the algorithm converge to their theoretical optimality. An implementation framework for the algorithm is constructed by leveraging the regularized least‐squares method, and a convergence criterion that guarantees the admissibility of the approximated strategies is also proposed. The effectiveness of the proposed algorithm and implementation framework are finally demonstrated through two numerical simulation examples.

show abstract

Multiplayer hierarchical decision‐making for discrete‐time nonlinear networks of service via value iteration adaptive dynamic programming

Cai,

Gao,

Liu

et al. 2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

Event-triggered cooperative robust formation control of multi-agent systems via reinforcement learning

Zhang,

Xiong

2024

Appl Intell

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Integral sliding mode-based event-triggered optimal fault tolerant tracking control of continuous-time nonlinear systems

Zhang,

Zhang

2024

European Journal of Control

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Event-Triggered Robust Adaptive Dynamic Programming for Multiplayer Stackelberg–Nash Games of Uncertain Nonlinear Systems

Cited by 21 publications

References 43 publications

Multiplayer hierarchical decision‐making for discrete‐time nonlinear networks of service via value iteration adaptive dynamic programming

Multiplayer hierarchical decision‐making for discrete‐time nonlinear networks of service via value iteration adaptive dynamic programming

Event-triggered cooperative robust formation control of multi-agent systems via reinforcement learning

Integral sliding mode-based event-triggered optimal fault tolerant tracking control of continuous-time nonlinear systems

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