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Optimal bipartite consensus for multi-agent systems using twin Q-learning deterministic policy gradient algorithm with adaptive learning rate

delete2025-07-01
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PRE
AI
L
Lianghao Ji
J
Jiali Song
C
Cuijuan Zhang
S
Shasha Yang
J
Jun Li *
DOI:10.1016/j.neucom.2025.130096delete
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Abstract

Abstract

En 中文
We investigate the optimal bipartite consensus control (OBCC) problem for multi-agent systems (MASs) over a signed network. Due to the improper cooperation-competition strength (CCS) among agents, the system may be unstable or even non-convergent. Recognizing the close relationship between CCS and the training of the critic network, we propose a twin Q-learning deterministic policy gradient algorithm with an adaptive learning rate (ALR-TQDPG). First, an adaptive learning rate formula is established based on the CCS and historical temporal difference (TD) error variations. The weights of two factors are dynamically adjusted using the weight equation as training progresses, then dynamically adjusting the update magnitude (i.e., learning rate) of critic network weights. Second, to solve the underestimation problem of Q-value, a twin Q-learning algorithm is adopted to improve system performance. The addition of experience replay and target network methods enhances algorithm stability. Lyapunov stability theory and functional analysis are utilized to ensure the ALR-TQDPG algorithm's convergence. Finally, numerical simulations confirm that the suggested approach is effective.
Keywords:
Optimal bipartite consensus control
Adaptive learning rate
Twin Q-learning
Deep deterministic policy gradient
Cooperation-competition strength

Journal

Neurocomputing cover
Neurocomputing
IF:
6.5
Papers:
2.5W
Citations:
6.5W

Organization

C
Chongqing University of Posts and Telecommun
Scholars:
581
Papers: 240
Citations: 60
S
Southwest Univ
Scholars:
3.0K
Papers: 1.0K
Citations: 340