Abstract
A discrete-time, time-varying analogue of the function theoretic, matricial Lagrange-Sylvester interpolation problem is introduced and solved. The set of all solutions is described via a linear fractional representation and a formula for a particular solution is given. The time-varying generalization of the bitangential matricial Nevanlinna-Pick interpolation problem is also considered. A time-varying version of the state space method plays an important role.
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Ball, J.A., Gohberg, I., Kaashoek, M.A. (1993). Bitangential Interpolation for Input-Out Operators of Time-Varying Systems: The Discrete Time Case. In: Gohberg, I. (eds) New Aspects in Interpolation and Completion Theories. Operator Theory Advances and Applications, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8562-1_3
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DOI: https://doi.org/10.1007/978-3-0348-8562-1_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9681-8
Online ISBN: 978-3-0348-8562-1
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