On the ill-posedness of certain vehicular platoon control problems

DOI10.1109/TAC.2005.854584zbMath1365.93323OpenAlexW2137006204MaRDI QIDQ5274141

Bassam Bamieh, Mihailo R. Jovanović

Publication date: 12 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2005.854584

Mathematics Subject Classification ID

Automated systems (robots, etc.) in control theory (93C85) Control of mechanical systems (70Q05)

Related Items (33)

Compositional construction of abstractions for infinite networks of discrete-time switched systems ⋮ Robust static output feedback synthesis for platoons under leader and predecessor feedback ⋮ Phase diagram for one-way traffic flow with local control ⋮ Synchronization Problems for Spatially Invariant Infinite Dimensional Linear Systems ⋮ A relaxed small-gain theorem for discrete-time infinite networks ⋮ Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs ⋮ Cyclic interconnection for formation control of 1-D vehicle strings ⋮ Stability of interconnected impulsive switched systems subject to state dimension variation ⋮ Stability and Admissible Densities in Transportation Flow Models ⋮ Sparse solution of the Lyapunov equation for large-scale interconnected systems ⋮ Asymptotic behaviour in the robot rendezvous problem ⋮ A comparison between LQR control for a long string of SISO systems and LQR control of the infinite spatially invariant version ⋮ Asymptotics for Infinite Systems of Differential Equations ⋮ A small-gain theorem for set stability of infinite networks: distributed observation and ISS for time-varying networks ⋮ Asymptotics and approximation of large systems of ordinary differential equations ⋮ Asymptotic behaviour of infinite chains of coupled kinematic points: second-order equations ⋮ Event-triggered extended state observer based distributed control of nonlinear vehicle platoons ⋮ Eigenvalue and Eigenvector Analysis of Stability for a Line of Traffic ⋮ String stability in traffic flows ⋮ Infinite chains of kinematic points ⋮ Consensus and disturbance attenuation in multi‐agent chains with nonlinear control and time delays ⋮ Leader tracking in homogeneous vehicle platoons with broadcast delays ⋮ On the peaking phenomenon in the control of vehicular platoons ⋮ Sparsity preserving optimal control of discretized PDE systems ⋮ Wave-absorbing vehicular platoon controller ⋮ Distributed output feedback control of decomposable LPV systems with delay and switching topology: application to consensus problem in multi-agent systems ⋮ Analytic and algebraic properties of Riccati equations: a survey ⋮ System theoretic properties of a class of spatially invariant systems ⋮ Distributed control of linear time‐varying systems interconnected over arbitrary graphs ⋮ Nonlinear small-gain theorems for input-to-state stability of infinite interconnections ⋮ Symbolic models for infinite networks of control systems: a compositional approach ⋮ Sparsity and Spatial Localization Measures for Spatially Distributed Systems ⋮ Stability and robustness of large platoons of vehicles with double-integrator models and nearest neighbor interaction

This page was built for publication: On the ill-posedness of certain vehicular platoon control problems