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A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays. (English) Zbl 1075.93032
From 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.

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
Software:
LMI toolbox
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References:
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