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Coherence of Coupling Conditions for the Isothermal Euler System
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New Lyapunov functions for systems with source terms
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Analysis of a model of a natural gas pipeline—a transfer function approach
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Discrete-time modeling and output regulation of gas pipeline networks
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On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
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The exponential decay rate of generic tree of 1-d wave equations with boundary feedback controls
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
Long Hu, Florent Di Meglio, Rafael Vazquez and Miroslav Krstic IEEE Transactions on Automatic Control 61(11) 3301 (2016) https://doi.org/10.1109/TAC.2015.2512847
Stability and Boundary Stabilization of 1-D Hyperbolic Systems
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Singular Perturbation Approximation of Linear Hyperbolic Systems of Balance Laws
Michael Di Loreto, Sérine Damak and Sabine Mondié Advances in Delays and Dynamics, Delays and Networked Control Systems 6 17 (2016) https://doi.org/10.1007/978-3-319-32372-5_2
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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
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Control of 2×2 linear hyperbolic systems: Backstepping-based trajectory generation and PI-based tracking
Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
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Optimal Boundary Control and Boundary Stabilization of Hyperbolic Systems
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Marcum -functions and explicit kernels for stabilization of linear hyperbolic systems with constant coefficients
Markus Dick, Martin Gugat, Michael Herty, et al. International Series of Numerical Mathematics, Trends in PDE Constrained Optimization 165 487 (2014) https://doi.org/10.1007/978-3-319-05083-6_31
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Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
Jean-Michel Coron, Rafael Vazquez, Miroslav Krstic and Georges Bastin SIAM Journal on Control and Optimization 51(3) 2005 (2013) https://doi.org/10.1137/120875739
Exponential stability of networks of density-flow conservation laws under PI boundary control