[
Avdonin, S., Edward, J. and Leugering, G. (2023) Controllability for the wave equation on graph with cycle and delta-prime vertex conditions. Evolution Equations and Control Theory, 12, 6.
]Search in Google Scholar
[
Bastin, G. and Coron, J. M. (2016) Stability and boundary stabilization of 1-D hyperbolic systems. Progress in Nonlinear Differential Equations and their Applications 88. Birkhäuser/Springer, Cham. Subseries in Control.
]Search in Google Scholar
[
Coron, J. M. (2007) Control and Nonlinearity. Mathematical Surveys and Monographs 136. American Mathematical Society, Providence, RI, 2007.
]Search in Google Scholar
[
Evans, L. C. (2010) Partial Differential Equations. Graduate Studies in Mathematics, 19 American Mathematical Society, Providence, RI, second edition.
]Search in Google Scholar
[
Fritzsche, K. and Grauert, H. (2002) From Holomorphic Functions to Complex Manifolds. Graduate Texts in Mathematics, 213. Springer-Verlag, New York.
]Search in Google Scholar
[
Gu, Q. and Li, T. (2009) Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Ann. Inst. H. Poincaré Anal. Non Linéaire 26, 6, 2373–2384.
]Search in Google Scholar
[
Gugat, M. and Gerster, S. (2019) On the limits of stabilizabi-lity for networks of strings. Systems Control Lett., 131:104494, 10.
]Search in Google Scholar
[
Gugat, M. and Giesselmann, J. (2021) Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks. ESAIM: Control, Optimisation and Calculus of Variations, 27:67.
]Search in Google Scholar
[
Gugat, M. and Herty, M. (2022) Limits of stabilizability for a semilinear model for gas pipeline flow. Optimization and Control for Partial Differential Equations - Uncertainty Quantification, Open and Closed-Loop Control, and Shape Optimization. Radon Ser. Comput. Appl. Math. De Gruyter, Berlin, 29, 59–71.
]Search in Google Scholar
[
Gugat, M., Leugering, G., Martin A., Schmidt, M., Sirvent, M. and Wintergerst, D. (2018) MIP-based instantaneous control of mixed-integer PDE-constrained gas transport problems. Comput. Optim. Appl., 70(1):267–294.
]Search in Google Scholar
[
Gugat, M., Leugering, G. and Wang, K. (2017) Neumann boundary feedback stabilization for a nonlinear wave equation: a strict H2-Lyapunov function. Math. Control Relat. Fields, 7(3):419–448.
]Search in Google Scholar
[
Gugat, M., Qian, M. and Sokolowski, J. (2023) Topological derivative method for control of wave equation on networks. In: 2023 27th International Conference on Methods and Models in Automation and Robotics (MMAR), 320–325.
]Search in Google Scholar
[
Gugat, M. and Weiland, S. (2021) Nodal stabilization of the flow in a network with a cycle. Журнал з оптимiзацiï, диференцiальних рiвнянь та ïх застосувань, 29(2):1–23.
]Search in Google Scholar
[
Hayat, A. (2019) On boundary stability of inhomogeneous 2×2 1-d hyperbolic systems for the c1 norm. ESAIM: Control, Optimisation and Calculus of Variations, 25:82.
]Search in Google Scholar
[
Hayat, A. and Shang, P. (2021) Exponential stability of density-velocity systems with boundary conditions and source term for the h2 norm. Journal de mathématiques pures et appliquées, 153:187–212.
]Search in Google Scholar
[
Huang, X., Wang, Z. and Zhou, S. (2023) The Dichotomy Property in Stabilizability of 2 x 2 Linear Hyperbolic Systems. arXiv e-prints, arXiv:2308. 09235, August 2023.
]Search in Google Scholar
[
Krug, R., Leugering, G., Martin, A., Schmidt, M. and Weninger, D. (2021) Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems. SIAM J. Control Optim., 59(6): 4339-–4372.
]Search in Google Scholar
[
Leugering, G. and Schmidt, E. J. P. G. (2002) On the modelling and stabilization of flows in networks of open canals. SIAM J. Control Optim., 41(1):164–180.
]Search in Google Scholar
[
Leugering, G. and Sokolowski, J. (2008) Topological sensitivity analysis for elliptic problems on graphs. Control and Cybernetics, 37(4): 971–997.
]Search in Google Scholar
[
Li, T. (2010) Controllability and Observability for Quasilinear Hyperbolic Systems. AIMS Series on Applied Mathematics, 3. American Institute of Mathematical Sciences (AIMS), Springfield, MO; Higher Education Press, Beijing, 2010.
]Search in Google Scholar
[
Li, T. and Rao, B. (2004) Exact boundary controllability of unsteady flows in a tree-like network of open canals. Methods Appl. Anal., 11(3):353–365.
]Search in Google Scholar
[
Nakić, I. and Veselić, K. (2020) Perturbation of eigenvalues of the Klein-Gordon operators. Rev. Mat. Complut., 33(2):557–581.
]Search in Google Scholar
[
Pazy, A. (1983) Semigroups of linear operators and applications to partial differential equations. Applied Mathematical Sciences, 44. Springer-Verlag, New York.
]Search in Google Scholar
[
Schmidt, M., Aßmann, D., Burlacu, R., Humpola, J., Joormann, I., Kanelakis, N., Koch, T., Oucherif, D., Pfetsch, M., Schewe, L., Schwarz, R. and Sirvent, M. (2017) Gaslib–a library of gas network instances. Data, 2:40, 12.
]Search in Google Scholar
[
von Below, J. (1988) Sturm-Liouville eigenvalue problems on networks. Math. Methods Appl. Sci., 10(4):383–395.
]Search in Google Scholar
[
von Below, J. and François, G. (2005) Spectral asymptotics for the Laplacian under an eigenvalue dependent boundary condition. Bull. Belg. Math. Soc. Simon Stevin, 12(4):505–519.
]Search in Google Scholar
[
Young, R. M. (1980) An Introduction to Nonharmonic Fourier Series. Pure and Applied Mathematics, 93 Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London.
]Search in Google Scholar