Approximation error in PDE-based modelling of vehicular platoons

DOI10.1080/00207179.2012.679969zbMath1417.93155OpenAlexW2120923860MaRDI QIDQ5745609

He Hao, Prabir Barooah

Publication date: 30 January 2014

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2012.679969

zbMATH Keywords

error analysispartial differential equationdistributed controlcontinuum approximationeigenvalue approximationstability margin

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Traffic problems in operations research (90B20) Stability of control systems (93D99)

Related Items (2)

Multi-agent deployment in 3-D via reaction-diffusion system with radially-varying reaction ⋮ Parabolic PDE-based multi-agent formation control on a cylindrical surface

Cites Work

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• Discretized partial differential equations: Examples of control systems defined on modules
• An Approach of Eigenvalue Perturbation Theory
• Mistuning-Based Control Design to Improve Closed-Loop Stability Margin of Vehicular Platoons
• Distributed control of spatially invariant systems
• Analysis of Coordination in Multi-Agent Systems Through Partial Difference Equations
• Stability Margin Scaling Laws for Distributed Formation Control as a Function of Network Structure
• Leader-Enabled Deployment Onto Planar Curves: A PDE-Based Approach
• Optimal Control of Vehicular Formations With Nearest Neighbor Interactions

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