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This paper considers a multiagent, connected, robotic fleet where the primary functionality of the agents is sensing. A distributed multi-sensor control strategy maximizes the value of the collective sensing capability of the fleet, using…

Multiagent Systems · Computer Science 2022-03-04 Tianqi Li , Lucas W. Krakow , Swaminathan Gopalswamy

Hybrid dynamical systems are systems which posses both continuous and discrete transitions. Assuming that the discrete transitions (resets) occur a finite number of times, the optimal control problem can be solved by gluing together the…

Optimization and Control · Mathematics 2024-03-20 William Clark , Maria Oprea , Aden Shaw

The problem of controlling multi-agent systems under different models of information sharing among agents has received significant attention in the recent literature. In this paper, we consider a setup where rather than committing to a…

Optimization and Control · Mathematics 2021-04-23 Sagar Sudhakara , Dhruva Kartik , Rahul Jain , Ashutosh Nayyar

In this work we study a distributed optimal output consensus problem for heterogeneous linear multi-agent systems where the agents aim to reach consensus with the purpose of minimizing the sum of private convex costs. Based on output…

Systems and Control · Electrical Eng. & Systems 2021-01-13 Li Li , Yang Yu , Xiuxian Li , Lihua Xie

This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We study the problem of multi-agent control of a dynamical system with known dynamics and adversarial disturbances. Our study focuses on optimal control without centralized precomputed policies, but rather with adaptive control policies for…

Optimization and Control · Mathematics 2022-07-27 Udaya Ghai , Udari Madhushani , Naomi Leonard , Elad Hazan

In this study, a new approach based on adaptive dynamic programming (ADP) is proposed to control permanent magnet synchronous motors (PMSMs). The objective of this paper is to control the torque and consequently the speed of a PMSM when an…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Ataollah Gogani Khiabani , Ali Heydari

Many real-world multi-agent systems exhibit nonlinear dynamics and complex inter-agent interactions. As these systems increase in scale, the main challenges arise from achieving scalability and handling nonconvexity. To address these…

Optimization and Control · Mathematics 2025-10-22 Taehyun Yoon , Augustinos D. Saravanos , Evangelos A. Theodorou

Differential Dynamic Programming (DDP) is an efficient trajectory optimization algorithm relying on second-order approximations of a system's dynamics and cost function, and has recently been applied to optimize systems with time-invariant…

Optimization and Control · Mathematics 2022-04-11 Alex Oshin , Matthew D. Houghton , Michael J. Acheson , Irene M. Gregory , Evangelos A. Theodorou

This paper investigates the distributed optimal output consensus problem of second-order uncertain nonlinear multi-agent systems over weight-unbalanced directed networks. Under the standard assumption that local cost functions are strongly…

Optimization and Control · Mathematics 2022-02-11 Jin Zhang , Lu Liu , Haibo Ji

We present an algorithm for a multi-agent path planning problem with pattern coordination based on dynamic programming and a Hamilton-Jacobi-Bellman equation. This falls broadly into the class of partial differential equation (PDE) based…

Optimization and Control · Mathematics 2025-03-28 Christian Parkinson , Adan Baca

We propose a decentralized game-theoretic framework for dynamic task allocation problems for multi-agent systems. In our problem formulation, the agents' utilities depend on both the rewards and the costs associated with the successful…

Multiagent Systems · Computer Science 2021-08-19 Efstathios Bakolas , Yoonjae Lee

Trajectory optimization is a fundamental problem in robotics. While optimization of continuous control trajectories is well developed, many applications require both discrete and continuous, i.e., hybrid, controls. Finding an optimal…

Robotics · Computer Science 2017-03-03 Joni Pajarinen , Ville Kyrki , Michael Koval , Siddhartha Srinivasa , Jan Peters , Gerhard Neumann

Dynamic games are powerful tools to model multi-agent decision-making, yet computing Nash (generalized Nash) equilibria remains a central challenge in such settings. Complexity arises from tightly coupled optimality conditions, nested…

Computer Science and Game Theory · Computer Science 2026-02-06 Mahdis Rabbani , Navid Mojahed , Shima Nazari

Many problems in robotics involve multiple decision making agents. To operate efficiently in such settings, a robot must reason about the impact of its decisions on the behavior of other agents. Differential games offer an expressive…

Systems and Control · Electrical Eng. & Systems 2020-03-19 David Fridovich-Keil , Ellis Ratner , Lasse Peters , Anca D. Dragan , Claire J. Tomlin

Within the framework of viscosity solution, we study the relationship between the maximum principle (MP) in [9] and the dynamic programming principle (DPP) in [10] for a fully coupled forward-backward stochastic controlled system (FBSCS)…

Optimization and Control · Mathematics 2018-05-17 Mingshang Hu , Shaolin Ji , Xiaole Xue

Optimal control problems are crucial in various domains, including path planning, robotics, and humanoid control, demonstrating their broad applicability. The connection between optimal control and Hamilton-Jacobi (HJ) partial differential…

Optimization and Control · Mathematics 2024-03-06 Tingwei Meng , Siting Liu , Wuchen Li , Stanley Osher

In this paper, we mainly focus on solving high-dimensional stochastic Hamiltonian systems with boundary condition, which is essentially a Forward Backward Stochastic Differential Equation (FBSDE in short), and propose a novel method from…

Optimization and Control · Mathematics 2021-12-13 Shaolin Ji , Shige Peng , Ying Peng , Xichuan Zhang

Many multi-agent coordination problems can be represented as DCOPs. Motivated by task allocation in disaster response, we extend standard DCOP models to consider uncertain task rewards where the outcome of completing a task depends on its…

Artificial Intelligence · Computer Science 2013-09-10 Feng Wu , Nicholas R. Jennings

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao