On finite dimensional realization theory of discrete time nonlinear systems (Q1073741)
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scientific article; zbMATH DE number 3945971
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite dimensional realization theory of discrete time nonlinear systems |
scientific article; zbMATH DE number 3945971 |
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On finite dimensional realization theory of discrete time nonlinear systems (English)
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1986
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We characterize finite dimensional realizability of deterministic nonlinear systems for which a Volterra series development for the input/output relationship exists. The characterization is given in terms of a separability property of the kernels of the Volterra series development. This separability structure gives a sufficient condition for existence of a finite dimensional state affine nonlinear realization in the case in which the Volterra series is finite.
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finite dimensional realizability
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nonlinear systems
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Volterra series
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separability
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0.9533198
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0.9239982
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0.9164887
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0.90732265
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0.9022361
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