Cooperative Control Approach for Library Group Therapy with Constraint Conditions

Lingyu Yang, Jiahao Xu () and Wenguang Zhang
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Lingyu Yang: Library of Xiaoxiang Campus, Central South University, Changsha 410083, China
Jiahao Xu: School of Automation, Central South University, Changsha 410083, China
Wenguang Zhang: School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China

Mathematics, 2025, vol. 13, issue 9, 1-9

Abstract: In this paper, group therapy behavior is studied from the viewpoint of cooperative control. To describe the range of emotional changes in each participant, nonconvex constraint sets are employed, which can be used to quantitatively represent the differences among all the participants. Then, a cooperative control model is proposed to describe the interaction between participants. Based on this model, emotion analysis is performed, and it is shown that all participants finally reach an emotion consensus regardless of facilitators being involved. In particular, when facilitators are absent, the final states of all participants cannot be controlled, while when facilitators are involved, the final states of all participants can be driven to a desired state of mental health. Numerical simulation examples are given to illustrate the theoretical conclusions.

Keywords: distributed cooperative algorithm; library group therapy behavior; nonlinear constraints (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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