Bounded Intermittent Controllers-Based Predefined-Time Control of Neutral Filippov Systems

In this article, the predefined-time (PdT) control of the switched neutral Filippov system (SNFS) is studied. Semi-intermittent-type and completely intermittent-type PdT stability lemmas are initially established. The indefinite function, united exponent parameter and intermittent time condition are adopted. The new completely intermittent-type PdT stability lemma shows that intermittent interval is related to the PdT parameter, and semi-intermittent-type one is not. Such results are new and some previous PdT stability lemmas are improved greatly. As an application, the SNFS is proposed, which is more generalized. Under the semi/completely intermittent time conditions framework, by designing discontinuous control strategy and bounded control strategy, the zero solution of the considered SNFS is PdT stable. For the PdT control, the control input constraint is considered for the first time. Finally, a numerical example and simulations are provided to illustrate the correctness of the main results.