A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays.

*(English)*Zbl 1075.93032From the text: Based on the descriptor model transformation from [E. Fridman, Syst. Control Lett. 43, No. 4, 309–319 (2001; Zbl 0974.93028)] and a decomposition technique of a discrete-delay term matrix, we investigate the robust stability of uncertain linear neutral systems with discrete and distributed delays. The uncertainties under consideration are norm bounded, and possibly time varying. The proposed stability criteria are formulated in the form of a linear matrix inequality and it is easy to check the robust stability of the considered systems. Numerical examples show that the results obtained in this paper are less conservative than those in Fridman’s paper mentioned above and the others surveyed there. From Examples 1 and 2, one can see that the criteria in this paper and those in [E. Fridman and U. Shaked, Linear Algebra Appl. 351–352, 271–302 (2002; Zbl 1006.93021)] are complementary.

Reviewer: Gunther Reißig (Magdeburg)

##### MSC:

93D09 | Robust stability |

34K40 | Neutral functional-differential equations |

93C23 | Control/observation systems governed by functional-differential equations |

93B17 | Transformations |

15A39 | Linear inequalities of matrices |

##### Keywords:

Stability; Time delay; Discrete delay; Distributed delay; Neutral system; Linear matrix inequality (LMI); Descriptor model; Transformation; Robust stability##### Software:

LMI toolbox
Full Text:
DOI

**OpenURL**

##### References:

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