3 citations · 8 across the 12 of their papers we have counts for
15 papers
Beyond periodicity: Fourier methods for optimal control
Milena Ispiryan, Vahagn Makaryan, Lusine Poghosyan +1
Fourier-based spectral methods provide compact global approximations, permit simple differentiation and integration, and achieve spectral convergence for smooth periodic functions.…
A Mean-Field Game Model For Large-Scale Attrition in Attacker-Defender Systems
Avetik Arakelyan, Tigran Bakaryan, Davit Alaverdyan +2
This paper proposes a novel Mean-Field Game (MFG) framework for large-scale attacker-defender systems aimed at protecting one or multiple High-Value Units (HVUs). Motivated by clas…
Distributed MPC For Coordinated Path-Following
Lusine Poghosyan, Anna Manucharyan, Mikayel Aramyan +2
In this paper, we consider a distributed model predictive control (MPC) algorithm for coordinated path-following. Relying on the time-critical cooperative path-following framework,…
Ranking Mean-Field Planning Games
Ali Almadeh, Tigran Bakaryan, Diogo Gomes +1
This paper studies a one-dimensional Mean-Field Planning (MFP) system with a non-local, rank-based coupling. Using a potential formulation, we rewrite the system as an associated s…
Hessian Riemannian Flow For Multi-Population Wardrop Equilibrium
Tigran Bakaryan, Christoph Aoun, Ricardo de Lima Ribeiro +2
In this paper, we address the problem of optimizing flows on generalized graphs that feature multiple entry points and multiple populations, each with varying cost structures. We t…
Game-Theoretic Coordination for Time-Critical Missions of UAV Systems
Mikayel Aramyan, Anna Manucharyan, Lusine Poghosyan +2
Coordinated missions involving Unmanned Aerial Vehicles (UAVs) in dynamic environments pose significant challenges in maintaining both coordination and agility. In this paper, rely…
Multi-population opinion dynamics model
Tigran Bakaryan, Yuliang Gu, Naira Hovakimyan +2
We introduce multi-population opinion dynamics models linked to the bounded confidence model, aiming to explore how interactions between individuals contribute to the emergence of…
Regularity For Stationary Mean-Field Games With Logarithmic Coupling
Tigran Bakaryan, Giuseppe Di Fazio, Diogo A. Gomes
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The primary objective is to underst…
First-order mean-field games on networks and Wardrop equilibrium
Fatimah Al Saleh, Tigran Bakaryan, Diogo A. Gomes +1
Here, we examine the Wardrop equilibrium model on networks with flow-dependent costs and its connection with stationary mean-field games (MFG). In the first part of this paper, we…
The Potential Method For Price-Formation Models
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
We consider the mean-field game price formation model introduced by Gomes and Saúde. In this MFG model, agents trade a commodity whose supply can be deterministic or stochastic. Ag…
A Variational Approach For Price Formation Models In One Dimension
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
In this paper, we study a class of first-order mean-field games (MFGs) that model price formation. Using Poincar{é} Lemma, we eliminate one of the equations and obtain a variationa…
Discrete Approximation Of Stationary Mean Field Games
Tigran Bakaryan, Diogo Gomes, Héctor Sánchez Morgado
In this paper, we focus on stationary (ergodic) mean-field games (MFGs). These games arise in the study of the long-time behavior of finite-horizon MFGs. Motivated by a prior schem…
A duality approach to a price formation MFG model
Yuri Ashrafyan, Tigran Bakaryan, Diogo Gomes +1
We study the connection between the Aubry-Mather theory and a mean-field game (MFG) price-formation model. We introduce a framework for Mather measures that is suited for constrain…
A Potential Approach for Planning Mean-Field Games in One Dimension
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
This manuscript discusses planning problems for first- and second-order one-dimensional mean-field games (MFGs). These games are comprised of a Hamilton-Jacobi equation coupled wit…
Uniform estimates for the planning problem with potential
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
In this paper, we study a priori estimates for a first-order mean-field planning problem with a potential. In the theory of mean-field games (MFGs), a priori estimates play a cruci…