Abstract
In this paper, sufficient conditions for chaos in Piecewise-linear sampled-data control systems are studied by using Shiraiwa-Kurata's Theorem.
First, it is shown that a certain piecewise-linear discrete-time control system is chaotic if the lower-dimensional subsystem has a snapback repeller.
Secondly, it is shown that, under certain conditions, a piecewise-linear sampled-data control system with two fixed points is chaotic for any sampling period which is larger than a critical sampling period.
Finaly, a chaotic region for a second-order sampled-data control system with a dead-zone element is shown.
