Reconciliation of inconsistencies in the theory of linear systems

E. Ragnoli, W.E. Leithead

Research output: Chapter in Book/Report/Conference proceedingChapter

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.
Original languageEnglish
Title of host publicationSwitching and Learning in Feedback Systems
PublisherSpringer-Verlag
Pages273-289
Number of pages16
ISBN (Print)978-3-540-24457-8
DOIs
Publication statusPublished - 2005

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume3355
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Keywords

  • feedback control theory
  • linear time-invariant systems

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    Ragnoli, E., & Leithead, W. E. (2005). Reconciliation of inconsistencies in the theory of linear systems. In Switching and Learning in Feedback Systems (pp. 273-289). (Lecture Notes in Computer Science; Vol. 3355). Springer-Verlag. https://doi.org/10.1007/978-3-540-30560-6_12