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- W2151822275 abstract "The classical time-invariant Hankel-norm approximation problem is generalized to the time-varying context. The input-output operator of a time-varying bounded causal linear system acting in discrete time may be specified as a bounded upper-triangular operator T with block matrix entries Tij. For such an operator T, we will define the Hankel norm as a generalization of the time-invariant Hankel norm. Subsequently, we describe all operators T which are closer to T in (operator) norm than some prespecified error tolerance Γ, and whose upper triangular part admits a state realization of minimal dimensions. The upper triangular part of T can be regarded as the input-output operator of a causal time-varying system that approximates T in Hankel norm." @default.
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- W2151822275 date "1994-01-01" @default.
- W2151822275 modified "2023-09-24" @default.
- W2151822275 title "Parametrization of Hankel-norm Approximants of Time-Varying Systems" @default.
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