When
Tuesday, March 31, 2026, at 4:00 p.m.
Muhammad Junayed Hasan Zahed
PhD Candidate
Department of Aerospace and Mechanical Engineering
University of Arizona
"A Multi-Agent System in the Context of Eulerian and Lagrangian Mechanics"
AME Lecture Hall, Room S202 | Zoom link
Abstract: This work presents a unified view of multi-agent systems through the complementary lenses of Eulerian and Lagrangian mechanics. On the Eulerian side, it introduces a physics-informed Continuous UAS Traffic Management framework in which low-altitude urban airspace is structured into fixed sky roads across multiple layers using potential and stream functions that satisfy Laplace-type constraints. This continuum description enables obstacle-aware channel generation, reachability, supervisory control and fair corridor allocation for time-varying traffic.
On the Lagrangian side, the seminar examines a deep-neural-network-based transport framework in which individual agents evolve from arbitrary initial formations to target-covering final configurations through layered mentor-mentee communication, time-varying convex weights, and provable stability guarantees. The presentation further extends this agent-based perspective to resilient transport in the presence of cooperative and uncooperative UAS, showing how edge pruning, feed-forward restructuring, and convex-hull containment preserve coordination quality under faults and communication loss.
By coupling Eulerian airspace organization with Lagrangian vehicle-level motion and interaction laws, the work highlights a scalable paradigm for safe, decentralized, and computationally efficient multi-agent autonomy. The resulting synthesis connects continuum mechanics, optimal transport ideas, supervisory traffic management, and learning-inspired coordination into a common framework for coverage, navigation, and resilience in dense urban airspace.
Bio: Muhammad Junayed Hasan Zahed is a PhD candidate in aerospace engineering in the Department of Aerospace and Mechanical Engineering at the University of Arizona. His research centers on autonomous robotics, unmanned aerial systems, multi-agent systems and control. At the University of Arizona, he conducts research in the SMART Lab under the supervision of Hossein Rastgoftar. Prior to joining the University of Arizona, he earned an MS in aerospace engineering from Pennsylvania State University, an MS in mechanical engineering from the University of Missouri–Kansas City and a BS in mechanical engineering from Bangladesh University of Engineering and Technology. His scholarly work includes journal and conference publications in UAS traffic management, aerial transport, collision safety, quadcopter dynamics and flight-performance evaluation. He has also built substantial teaching experience through roles as a teaching assistant and senior lecturer in mechanical engineering.