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Zbl 1075.93032
Han, Qing-Long
A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays. (English)
[J] Automatica 40, No. 10, 1791-1796 (2004). ISSN 0005-1098

From the text: Based on the descriptor model transformation from [{\it 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 [{\it E. Fridman} and {\it U. Shaked}, Linear Algebra Appl. 351--352, 271--302 (2002; Zbl 1006.93021)] are complementary.
[Gunther Reissig (Magdeburg)]

MSC 2000:: *93D09 Robust stability of control systems
34K40 Neutral equations
93C23 Systems governed by functional-differential equations
93B17 System transformation
15A39 Linear inequalities

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

Citations: Zbl 0974.93028; Zbl 1006.93021

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