Computation of transfer function matrices for 2×2 strongly coupled hyperbolic systems of balance laws

A transfer function representation for a class of distributed parameter systems described by two hyperbolic partial differential equations defined on a one-dimensional spatial domain is considered. Compared to the previously presented results, the paper focuses on the transfer function representation for systems described by strongly coupled hyperbolic equations. Formulas for converting the transfer function matrix of the decoupled canonical system into the form describing the original, strongly coupled system are proposed for two different boundary input configurations. The considerations are illustrated with a practical example of an electrical transmission line.