Abstract
The vector interpolation problem, posed by Ball and Helton [1,2], is the most general version of such Nevanlinna-Pick interpolation problems, containing the matrix interpolation problem as a special case. The problem has been solved by several methods, all of which rely on deep and abstract mathematics. Yet it is possible to solve the vector interpolation problem in a very straightforward way, as was done in [3,8] for the scalar case and in [11] for the vector case.
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References
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Green, M., Limebeer, D.J.N. (1990). Vector Interpolation, H∞ Control and Model Reduction. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_26
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_26
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-1-4612-4484-4
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