Abstract
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6.1 Input Response Maps with Time-Invariance
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6.2 Pseudo Linear Systems
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6.3 Finite Dimensional Pseudo Linear Systems
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6.4 Partial Realization of Pseudo Linear Systems
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6.5 Real-Time Partial Realization of Pseudo Linear Systems
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6.6 Historical Notes and Concluding Remarks
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6.7 Appendix
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6.7.A Realization Theory
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6.7.A-1 Deriving Pseudo Linear Systems from Affine Dynamical Systems
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6.7.A-2 Linear State Structure Free Motions
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6.7.A-3 Free Motions with an Affine Map
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6.7.A-4 Free Motions with a Readout Maps
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6.7.A-5 Pseudo Linear Systems
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6.7.A-6 Sophisticated Pseudo Linear Systems
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6.7.B Finite Dimensionality
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6.7.B-1 Finite Dimensional Free Motions with an Affine Map
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6.7.B-2 Finite Dimensional Free Motions with a Readout Map
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6.7.B-3 Finite Dimensional Pseudo Linear Systems
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6.7.B-4 Existence Criterion for Pseudo Linear Systems
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6.7.B-5 Realization Procedure for Pseudo Linear Systems
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6.7.C Partial Realization
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6.7.C-1 Free Motions with an Affine Map
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6.7.C-2 Free Motions with a Readout Map
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6.7.C-3 Partial Realization Problem
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6.7.C-4 Real-Time Partial Realization Problem
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Matsuo, T., Hasegawa, Y. Pseudo Linear Systems. In: Matsuo, T., Hasegawa, Y. (eds) Realization Theory of Discrete-Time Dynamical Systems. Lecture Notes in Control and Information Science, vol 296. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45149-5_6
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DOI: https://doi.org/10.1007/978-3-540-45149-5_6
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