In the last few years some articles have emphasized certain fundamental inconsistencies underlying feedback control theory. The paper of Willems  Georgiou and Smith , later the works of Makila ,, of Leithead et al.  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.
|Title of host publication||Switching and Learning in Feedback Systems|
|Number of pages||16|
|Publication status||Published - 2005|
|Name||Lecture Notes in Computer Science|
- feedback control theory
- linear time-invariant systems
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