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Some new simple stability criteria of linear neutral systems with a single delay. (English) Zbl 1112.34058

From the summary: This article mainly considers the linear neutral delay-differential systems with a single delay. Using the characteristic equation of the system, new simple delay-independent asymptotic and exponential stability criteria are derived in terms of the matrix measure, the spectral norm and the spectral radius of the corresponding matrices. Numerical examples demonstrate that our criteria are less conservative than those of previous corresponding results.

MSC:

34K20 Stability theory of functional-differential equations
34K06 Linear functional-differential equations
34K40 Neutral functional-differential equations
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