Chaos in non-linear sampled-data control systems
- 1 November 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 38 (5) , 1023-1033
- https://doi.org/10.1080/00207178308933126
Abstract
In this paper, sufficient conditions for chaos in non-linear sampled-data control systems are investigated by applying Marotto's (1978) Theorem and Shiraiwa and Kurata's (1980) Theorem. It is shown that a state-feedback sampled-data control system with sampling period T is chaotic if T > T∗ for sufficiently largo T∗. It is also shown that if a sampled-data control system has an output-feedback and can be split into two subsystems, the existence of chaos in the system can be checked only by the lower-dimensional subsystem behaviour.Keywords
This publication has 7 references indexed in Scilit:
- Euler's finite difference scheme and chaos in $R^n$Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1982
- Chaos in Nonlinear Difference Equations. I: Qualitative Study of (Formal) ChaosProgress of Theoretical Physics, 1980
- Snap-back repellers imply chaos in RnJournal of Mathematical Analysis and Applications, 1978
- SynergeticsPublished by Springer Nature ,1978
- Phytochrome and gibberellinsNature, 1976
- Period Three Implies ChaosThe American Mathematical Monthly, 1975
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963