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**On boundedness and attractiveness of nonlinear switched delay systems.**
*(English)*
Zbl 1470.34176

Summary: This paper is concerned with the boundedness and attractiveness of nonlinear switched delay systems whose subsystems have different equilibria. Some sufficient conditions which can guarantee the system’s boundedness are obtained. In addition, we work out the region where the solution will remain and furthermore the relationship between the initial function and the bounded region. Based on the new concept of attractor with switching laws, we show that the nonlinear switched delay system is attractive and then obtain the attractive region.

### MSC:

34K12 | Growth, boundedness, comparison of solutions to functional-differential equations |

34K20 | Stability theory of functional-differential equations |

34K34 | Hybrid systems of functional-differential equations |

93D15 | Stabilization of systems by feedback |

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\textit{Y. Zhang} et al., Abstr. Appl. Anal. 2013, Article ID 713847, 8 p. (2013; Zbl 1470.34176)

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### References:

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