Abstract

Abstract This paper discusses the sufficient conditions for chaotic behavior in sampled-data control systems with a saturating actuator by applying Marotto’s theorem. First, it is shown that the sampling signal of a simple one-dimensional state-feedback sampled-data control system with sampling period T is chaotic in the sense of Li and Yorke if T > T 1 ∗ . In particular, an explicit formula for the computation of T 1 ∗ is obtained. Next, this result is applied to a class of n-dimensional sampled-data control systems. Finally, the presented theory results are verified by two examples.

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