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Zbl 1007.34078
Louisell, James
A matrix method for determining the imaginary axis eigenvalues of a delay system. (English)
[J] IEEE Trans. Autom. Control 46, No.12, 2008-2012 (2001). ISSN 0018-9286

Here, autonomous neutral or retarded matrix delay differential systems are studied. The author shows that for such systems the set of pure imaginary eigenvalues are limited to the values at which an associated second-degree matrix polynomial becomes singular. Examples are given for the stability analysis.
[Angela Slavova (Sofia)]

MSC 2000:: *34L15 Estimation of eigenvalues for OD operators
93B60 Eigenvalue problems in systems theory
34K20 Stability theory of functional-differential equations
93C23 Systems governed by functional-differential equations
34K05 General theory of functional-differential equations

Keywords: neutral systems; stability; eigenvalues; polynomial matrices

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Zentralblatt MATH Berlin [Germany]