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Consensus planning is a method for coordinating decision making across complex systems and organizations, including complex supply chain optimization pipelines. It arises when large interdependent distributed agents (systems) share common…

Optimization and Control · Mathematics 2025-11-25 Alvaro Maggiar , Lee Dicker , Michael Mahoney

Probabilistic Computation Tree Logic (PCTL) is frequently used to formally specify control objectives such as probabilistic reachability and safety. In this work, we focus on model checking PCTL specifications statistically on Markov…

Machine Learning · Computer Science 2020-04-23 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

Despite longstanding interest, controller synthesis remains challenging for networks of heterogeneous, nonlinear agents. Moreover, the requirements for computational scalability and information privacy have become increasingly critical.…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Ingyu Jang , Leila J. Bridgeman

This paper investigates the problem of cooperative tuning of multi-agent optimal control systems, where a network of agents (i.e. multiple coupled optimal control systems) adjusts parameters in their dynamics, objective functions, or…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Zehui Lu , Wanxin Jin , Shaoshuai Mou , Brian D. O. Anderson

This paper develops a controller synthesis approach for a multi-agent system (MAS) with intermittent communication. We adopt a leader-follower scheme, where a mobile leader with absolute position sensors switches among a set of followers…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Zhe Xu , Federico M. Zegers , Bo Wu , Warren Dixon , Ufuk Topcu

In hierarchical planning for Markov decision processes (MDPs), temporal abstraction allows planning with macro-actions that take place at different time scale in form of sequential composition. In this paper, we propose a novel approach to…

Optimization and Control · Mathematics 2019-07-24 Xuan Liu , Jie Fu

In this paper we present a layered approach for multi-agent control problem, decomposed into three stages, each building upon the results of the previous one. First, a high-level plan for a coarse abstraction of the system is computed,…

Artificial Intelligence · Computer Science 2023-07-14 Emily Clement , Nicolas Perrin-Gilbert , Philipp Schlehuber-Caissier

We present a method to generate a robot control strategy that maximizes the probability to accomplish a task. The task is given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied at the regions of a…

Optimization and Control · Mathematics 2015-03-19 Xu Chu Ding , Stephen L. Smith , Calin Belta , Daniela Rus

The ability to compute reward-optimal policies for given and known finite Markov decision processes (MDPs) underpins a variety of applications across planning, controller synthesis, and verification. However, we often want policies (1) to…

Logic in Computer Science · Computer Science 2025-11-18 Linus Heck , Filip Macák , Milan Češka , Sebastian Junges

This paper deals with motion planning for multiple agents by representing the problem as a simultaneous optimization of every agent's trajectory. Each trajectory is considered as a sample from a one-dimensional continuous-time Gaussian…

Robotics · Computer Science 2018-06-21 Luka Petrović , Ivan Marković , Marija Seder

When humans are given a policy to execute, there can be policy execution errors and deviations in policy if there is uncertainty in identifying a state. This can happen due to the human agent's cognitive limitations and/or perceptual…

Artificial Intelligence · Computer Science 2022-03-07 Sriram Gopalakrishnan , Mudit Verma , Subbarao Kambhampati

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

Artificial Intelligence · Computer Science 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

This paper presents an algorithmic framework for control synthesis of continuous dynamical systems subject to signal temporal logic (STL) specifications. We propose a novel algorithm to obtain a time-partitioned finite automaton from an STL…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Qi Heng Ho , Roland B. Ilyes , Zachary N. Sunberg , Morteza Lahijanian

In this work, we proposed a new dynamic distributed planning approach that is able to take into account the changes that the agent introduces on his set of actions to be planned in order to take into account the changes that occur in his…

Artificial Intelligence · Computer Science 2024-03-05 Zakaria Tolba

We propose a distributed control and coordination strategy for multi-agent systems where each agent has a local task specified as a Linear Temporal Logic (LTL) formula and at the same time is subject to relative-distance constraints with…

Multiagent Systems · Computer Science 2014-11-03 Meng Guo , Jana Tumova , Dimos V. Dimarogonas

Consumption Markov Decision Processes (CMDPs) are probabilistic decision-making models of resource-constrained systems. In a CMDP, the controller possesses a certain amount of a critical resource, such as electric power. Each action of the…

Formal Languages and Automata Theory · Computer Science 2020-05-18 František Blahoudek , Tomáš Brázdil , Petr Novotný , Melkior Ornik , Pranay Thangeda , Ufuk Topcu

Multi-agent large language model (LLM) systems often rely on a controller to coordinate a pool of heterogeneous models, yet existing controllers are typically limited to one-shot routing: they select a model once and return its output…

Artificial Intelligence · Computer Science 2026-05-12 Wenzhi Fang , Liangqi Yuan , Guangchen Lan , Dong-Jun Han , Christopher G. Brinton

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

Multi-agent Markov Decision Process (MMDP) has been an effective way of modelling sequential decision making algorithms for multi-agent cooperative environments. A number of algorithms based on centralized and decentralized planning have…

Artificial Intelligence · Computer Science 2021-10-19 Rafid Ameer Mahmud , Fahim Faisal , Saaduddin Mahmud , Md. Mosaddek Khan
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