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math.OC2020

MinMax Mean-Field Team Approach for a Leader-Follower Network: A Saddle-Point Strategy

Mohammad M. Baharloo, Jalal Arabneydi, Amir G. Aghdam

This paper investigates a soft-constrained MinMax control problem of a leader-follower network. The network consists of one leader and an arbitrary number of followers that wish to…

math.OC2020

A Certainty Equivalence Result in Team-Optimal Control of Mean-Field Coupled Markov Chains

Jalal Arabneydi, Amir G. Aghdam

This paper studies a large number of homogeneous Markov decision processes where the transition probabilities and costs are coupled in the empirical distribution of states (also ca…

math.OC2020

Optimal Dynamic Pricing for Binary Demands in Smart Grids: A Fair and Privacy-Preserving Strategy

Jalal Arabneydi, Amir G. Aghdam

Motivated by demand-side management in smart grids, a decentralized controlled Markov chain formulation is proposed to model a homogeneous population of users with binary demands (…

math.OC2020

Near-Optimal Design for Fault-Tolerant Systems with Homogeneous Components under Incomplete Information

Jalal Arabneydi, Amir G. Aghdam

In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more r…

math.OC2020

Near-Optimal Control Strategy in Leader-Follower Networks: A Case Study for Linear Quadratic Mean-Field Teams

Mohammad M. Baharloo, Jalal Arabneydi, Amir G. Aghdam

In this paper, a decentralized stochastic control system consisting of one leader and many homogeneous followers is studied. The leader and followers are coupled in both dynamics a…

math.OC2020

Optimal Distributed Control for Leader-Follower Networks: A Scalable Design

Jalal Arabneydi, Mohammad M. Baharloo, Amir G. Aghdam

The focus of this paper is directed towards optimal control of multi-agent systems consisting of one leader and a number of followers in the presence of noise. The dynamics of ever…