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New delay-partitioning approaches to stability criteria for uncertain neutral systems with time-varying delays. (English) Zbl 1264.93216
Summary: In this paper, the problem of stability analysis for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By use of new augmented Lyapunov functional and delay-partitioning techniques, delay-dependent stability criteria to guarantee the asymptotic stability are established in terms of Linear Matrix Inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. Four numerical examples are given to show the superiority of the proposed methods.

##### MSC:
 93D20 Asymptotic stability in control theory 93C15 Control/observation systems governed by ordinary differential equations 93C05 Linear systems in control theory 34K40 Neutral functional-differential equations
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