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Volume 13 Issue 8
Aug.  2026

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2026  >  13(8): 1816-1825
S. Chen, K. Xiang, and Y. Song, “A distributed pre-defined-time solution to time-varying constrained optimization problems over multiplex networks,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 8, pp. 1816–1825, Aug. 2026. doi: 10.1109/JAS.2026.125816
Citation: S. Chen, K. Xiang, and Y. Song, “A distributed pre-defined-time solution to time-varying constrained optimization problems over multiplex networks,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 8, pp. 1816–1825, Aug. 2026. doi: 10.1109/JAS.2026.125816
shu

A Distributed Pre-Defined-Time Solution to Time-Varying Constrained Optimization Problems Over Multiplex Networks

doi: 10.1109/JAS.2026.125816
Funds:  This work was supported in part by the National Key Research and Development Program of China (2022YFB4701400/4701401), in part by the Fundamental Research Funds for the Central Universities (2024CDJYDYL020, 2024CDJYXTD-007), in part by the Natural Science Foundation of Chongqing (CSTB2023NSCQ-LZX0026), and in part by the National Natural Science Foundation of China (W2411061, 62573068)
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    Abstract
  • Numerous engineering applications involve optimization with constrained conditions. This study proposes a novel distributed algorithm for solving time-varying (TV) constrained optimization problems over multiplex networks within the predefined time, where both the objective functions and constraints are TV. By integrating a time-regulator function and the supra-Laplacian matrix, we develop an integral sliding mode-based distributed optimization algorithm that guarantees predefined-time convergence. The proposed approach eliminates the need for restrictive state initialization and ensures minimization of the global TV cost function within a user-defined time frame, significantly enhancing applicability. Numerical simulations validate the effectiveness and superiority of the proposed algorithms.

     

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