Nabla fractional distributed optimization algorithms over undirected/directed graphs

X Hong, Y Wei, S Zhou, D Yue - Journal of the Franklin Institute, 2024 - Elsevier
The primary focus of this paper centers on investigating unconstrained distributed
optimization problems over undirected or directed graphs. One noteworthy departure from …

Nabla fractional distributed optimization algorithm over unbalanced graphs

X Hong, Y Wei, S Zhou, D Yue… - IEEE Control Systems …, 2024 - ieeexplore.ieee.org
While fractional calculus has shown appealing properties in optimization related fields, few
results have been reported on distributed optimization with fractional dynamics over …

A Gradient Tracking Protocol for Optimization Over Nabla Fractional Multi-Agent Systems

S Zhou, Y Wei, S Liang, J Cao - IEEE Transactions on Signal …, 2024 - ieeexplore.ieee.org
This paper investigates the distributed consensus optimization over a class of nabla
fractional multi-agent systems (nFMASs). The proposed approach, built upon conventional …

Event‐triggered fuzzy adaptive control of incommensurate fractional order nonlinear systems

D Gong, Y Wang - Asian Journal of Control, 2023 - Wiley Online Library
This paper focuses on the event‐triggered control of nonstrict‐feedback incommensurate
fractional order systems with external disturbances. To release more communication …

Nabla fractional distributed optimization algorithm with directed communication topology

X Hong, Y Zeng, S Zhou, Y Wei - 2023 6th International …, 2023 - ieeexplore.ieee.org
This paper proposes a fractional order distributed optimization algorithm for balanced
directed graphs by introducing nabla fractional calculus. The proposed algorithm is shown to …

Fuzzy Adaptive Command-Filter Control of Incommensurate Fractional-Order Nonlinear Systems

D Gong, Y Wang - Entropy, 2023 - mdpi.com
This paper focuses on the command-filter control of nonstrict-feedback incommensurate
fractional-order systems. We utilized fuzzy systems to approximate nonlinear systems, and …

Distributed Solving Linear Algebraic Equations with Switched Fractional Order Dynamics

W Yu, S Cheng, S He - Journal of Systems Science and Complexity, 2023 - Springer
This paper proposes a novel distributed optimization algorithm with fractional order
dynamics to solve linear algebraic equations. Firstly, the authors proposed “Consensus+ …

Quantized ADMM design for distributed strongly convex optimization

X Yin, W Yu, S Cheng, S He - Transactions of the Institute of …, 2024 - journals.sagepub.com
This paper proposes a novel quantized alternating direction method of multipliers (ADMM)
for distributed optimization problems where the strongly convex objective function contains …

Fractional order distributed optimization algorithm for double-fractional-integrator dynamics grounded on proportional-integral feedback

S Zhou, H Peng, X Hong, Y Wei - 2023 6th International …, 2023 - ieeexplore.ieee.org
This paper endeavors to tackle the dynamic convex optimization problem over undirected
topological networks, which is solved through the collaboration between interlinked agents …

Distributed Projected Gradient for Unbalanced Optimization With Delayed Gradient Information

Q Huang, Y Wang, S Cheng… - 2024 14th Asian Control …, 2024 - ieeexplore.ieee.org
In this paper, a distributed projected gradient algorithm is developed to address a
constrained optimization problem encountered in an unbalanced multi-agent network with …