Finite-time stabilization of uncertain switched positive linear systems with time-varying delays.

*(English)*Zbl 1418.93226Summary: This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results.

##### MSC:

93D15 | Stabilization of systems by feedback |

93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |

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\textit{T. Yu} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 954782, 9 p. (2015; Zbl 1418.93226)

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