Distributed economic control of dynamically coupled networks

2017/10/18 by Yang Lu, Lu, Yang, Minghui Zhu +1
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Economic theories and models #FOS: Mathematics #Neural Networks Stability and Synchronization #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1710.06583

openalex publication_date 2017/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper investigates the synthesis of distributed economic control algorithms under which dynamically coupled physical systems are regulated to a variational equilibrium of a constrained convex game. We study two complementary cases: (i) each subsystem is linear and controllable; and (ii) each subsystem is nonlinear and in the strict-feedback form. The convergence of the proposed algorithms is guaranteed using Lyapunov analysis. Their performance is verified by two case studies on a multi-zone building temperature regulation problem and an optimal power flow problem, respectively.

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