[Ahmad, I. and Berzins, M. (2001). MOL solvers for hyperbolic PDEs with source terms, Mathematics and Computers in Simulation56(2): 115–125.]Search in Google Scholar

[Albertos, P. and Sala, A. (2004). Multivariable Control Systems: An Engineering Approach, Springer, London.]Search in Google Scholar

[Anfinsen, H. and Aamo, O.M. (2018). Adaptive control of linear 2×2 hyperbolic systems, Automatica87: 69–82.]Search in Google Scholar

[Anfinsen, H. and Aamo, O.M. (2019). Adaptive Control of Hyperbolic PDEs, Springer, Cham.]Search in Google Scholar

[Anfinsen, H., Diagne, M., Aamo, O. and Krstić, M. (2017). Estimation of boundary parameters in general heterodirectional linear hyperbolic systems, Automatica79: 185–197.]Search in Google Scholar

[Arov, D.Z., Kurula, M. and Staffans, O.J. (2012). Boundary control state/signal systems and boundary triplets, in A. Hassi et al. (Eds), Operator Methods for Boundary Value Problems, Cambridge University Press, Cambridge, pp. 73–86.]Search in Google Scholar

[Bartecki, K. (2013a). Computation of transfer function matrices for 2×2 strongly coupled hyperbolic systems of balance laws, Proceedings of the 2nd Conference on Control and Fault-Tolerant Systems, Nice, France, pp. 578–583.]Search in Google Scholar

[Bartecki, K. (2013b). A general transfer function representation for a class of hyperbolic distributed parameter systems, International Journal of Applied Mathematics and Computer Science23(2): 291–307, DOI: 10.2478/amcs-2013-0022.]Search in Google Scholar

[Bartecki, K. (2015a). Abstract state-space models for a class of linear hyperbolic systems of balance laws, Reports on Mathematical Physics76(3): 339–358.]Search in Google Scholar

[Bartecki, K. (2015b). Transfer function-based analysis of the frequency-domain properties of a double pipe heat exchanger, Heat and Mass Transfer51(2): 277–287.]Search in Google Scholar

[Bartecki, K. (2016). Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws, Springer, Cham.]Search in Google Scholar

[Bartecki, K. (2019). Approximation state-space model for 2×2 hyperbolic systems with collocated boundary inputs, 24th International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 513–518.]Search in Google Scholar

[Bastin, G. and Coron, J.-M. (2016). Stability and Boundary Stabilization of 1-D Hyperbolic Systems, Birkhäuser, Basel.]Search in Google Scholar

[Callier, F.M. and Winkin, J. (1993). Infinite dimensional system transfer functions, in R.F. Curtain et al. (Eds), Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems, Springer, Berlin/Heidelberg, pp. 75–101.]Search in Google Scholar

[Cockburn, B., Johnson, C., Shu, C. and Tadmor, E. (1998). Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Springer, Heidelberg.]Search in Google Scholar

[Coron, J., Li, T. and Li, Y. (2019). One-Dimensional Hyperbolic Conservation Laws and Their Applications, World Scientific, Singapore.]Search in Google Scholar

[Curtain, R.F. and Zwart, H. (1995). An Introduction to Infinite-Dimensional Linear Systems Theory, Springer, New York, NY.]Search in Google Scholar

[Curtain, R. and Morris, K. (2009). Transfer functions of distributed parameters systems: A tutorial, Automatica45(5): 1101–1116.]Search in Google Scholar

[Deutscher, J. (2017). Finite-time output regulation for linear 2×2 hyperbolic systems using backstepping, Automatica75: 54–62.]Search in Google Scholar

[Doyle, J., Francis, B. and Tannenbaum, A. (1992). Feedback Control Theory, Macmillan, New York, NY.]Search in Google Scholar

[Emirsajłow, Z. and Townley, S. (2000). From PDEs with boundary control to the abstract state equation with an unbounded input operator: A tutorial, European Journal of Control6(1): 27–49.]Search in Google Scholar

[Engel, K.-J. and Nagel, R. (2000). One-Parameter Semigroups for Linear Evolution Equations, Springer, New York, NY.]Search in Google Scholar

[Godlewski, E. and Raviart, P.-A. (1996). Numerical Approximation of Hyperbolic Systems of Conservation Laws, Springer, New York, NY.]Search in Google Scholar

[Grabowski, P. and Callier, F.M. (2001). Circle criterion and boundary control systems in factor form: Input–output approach, International Journal of Applied Mathematics and Computer Science11(6): 1387–1403.]Search in Google Scholar

[Gugat, M., Herty, M. and Yu, H. (2018). On the relaxation approximation for 2×2 hyperbolic balance laws, in C. Klingenberg and M. Westdickenberg (Eds), Theory, Numerics and Applications of Hyperbolic Problems I, Springer, Cham, pp. 651–663.]Search in Google Scholar

[Hu, L., Di Meglio, F., Vazquez, R. and Krstić, M. (2016). Control of homodirectional and general heterodirectional linear coupled hyperbolic PDEs, IEEE Transactions on Automatic Control61(11): 3301–3314.]Search in Google Scholar

[Jones, B.L. and Kerrigan, E.C. (2010). When is the discretization of a spatially distributed system good enough for control?, Automatica46(9): 1462–1468.]Search in Google Scholar

[Kitsos, C., Besançon, G. and Prieur, C. (2019). A high-gain observer for a class of 2×2 hyperbolic systems with C1 exponential convergence, IFAC-PapersOnLine52(2): 174–179.]Search in Google Scholar

[Koto, T. (2004). Method of lines approximations of delay differential equations, Computers & Mathematics with Applications48(1–2): 45–59.]Search in Google Scholar

[Lalot, S. and Desmet, B. (2019). The harmonic response of counter-flow heat exchangers—Analytical approach and comparison with experiments, International Journal of Thermal Sciences135: 163–172.]Search in Google Scholar

[LeVeque, R. (2002). Finite Volume Methods for Hyperbolic Problems, Cambridge University Press, Cambridge.]Search in Google Scholar

[Levine, W.S. (Ed.) (2011). The Control Systems Handbook: Control System Advanced Methods, Electrical Engineering Handbook, CRC Press, Boca Raton, FL.]Search in Google Scholar

[Li, H.-X. and Qi, C. (2010). Modeling of distributed parameter systems for applications—A synthesized review from time-space separation, Journal of Process Control20(8): 891–901.]Search in Google Scholar

[Litrico, X. and Fromion, V. (2009a). Boundary control of hyperbolic conservation laws using a frequency domain approach, Automatica45(3): 647–656.]Search in Google Scholar

[Litrico, X. and Fromion, V. (2009b). Modeling and Control of Hydrosystems, Springer, London.]Search in Google Scholar

[Maidi, A., Diaf, M. and Corriou, J.-P. (2010). Boundary control of a parallel-flow heat exchanger by input–output linearization, Journal of Process Control20(10): 1161–1174.]Search in Google Scholar

[Mattheij, R.M.M., Rienstra, S.W. and ten Thije Boonkkamp, J.H.M. (2005). Partial Differential Equations: Modeling, Analysis, Computation, SIAM, Philadelphia, PA.]Search in Google Scholar

[Partington, J.R. (2004). Some frequency-domain approaches to the model reduction of delay systems, Annual Reviews in Control28(1): 65–73.]Search in Google Scholar

[Polyanin, A.D. and Manzhirov, A.V. (1998). Handbook of Integral Equations, CRC Press, Boca Raton, FL.]Search in Google Scholar

[Rauh, A., Senkel, L., Aschemann, H., Saurin, V.V. and Kostin, G.V. (2016). An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems, International Journal of Applied Mathematics and Computer Science26(1): 15–30, DOI: 10.1515/amcs-2016-0002.]Search in Google Scholar

[Ray, W.H. (1981). Advanced Process Control, McGraw-Hill New York, NY.]Search in Google Scholar

[Russell, D.L. (1978). Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions, SIAM Review20(4): 639–739.]Search in Google Scholar

[Schiesser, W.E. and Griffiths, G.W. (2009). A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab, Cambridge University Press, New York, NY.]Search in Google Scholar

[Shakeri, F. and Dehghan, M. (2008). The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition, Computers & Mathematics with Applications56(9): 2175–2188.]Search in Google Scholar

[Tucsnak, M. and Weiss, G. (2009). Observation and Control for Operator Semigroups, Birkhäuser, Basel.]Search in Google Scholar

[Zavala-Río, A., Astorga-Zaragoza, C.M. and Hernández-González, O. (2009). Bounded positive control for double-pipe heat exchangers, Control Engineering Practice17(1): 136–145.]Search in Google Scholar

[Zwart, H. (2004). Transfer functions for infinite-dimensional systems, Systems and Control Letters52(3–4): 247–255.]Search in Google Scholar