Abstract
In the last few years some articles have emphasized certain fundamental inconsistencies underlying feedback control theory. The paper of Willems [1] Georgiou and Smith [2], later the works of Makila [3],[4], of Leithead et al. [5] have stressed the inconsistency of standard formalisms of linear time-invariant systems when the signals are double sided and the systems are open loop unstable. We establish a framework for a consistent time domain and frequency domain representation of discrete time linear time-invariant systems and, furthermore, that supports the consistent analysis of discrete time linear time-invariant feedback systems when signals are double sided and the systems are open loop unstable.
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References
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© 2005 Springer-Verlag Berlin Heidelberg
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Ragnoli, E., Leithead, W. (2005). Reconciliation of Inconsistencies in the Theory of Linear Systems. In: Murray-Smith, R., Shorten, R. (eds) Switching and Learning in Feedback Systems. Lecture Notes in Computer Science, vol 3355. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30560-6_12
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DOI: https://doi.org/10.1007/978-3-540-30560-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24457-8
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