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Stability of neutral delay-differential systems: Boundary criteria. (English) Zbl 0913.34060
For linear neutral delay differential equations of the form \[ \dot{x}(t)=Ax(t)+Bx(t-\tau)+C\dot{x}(t-\tau), \] where \(x:{\mathbb{R}}_+\to{\mathbb{R}}^n\) is an unknown function, \(A\), \(B\) and \(C\) are constant \(n\times n\)-matrices and \(\tau=\text{ const}>0\), a series of delay dependent asymptotical stability criteria are given. The criteria are based on the evaluation of a real-valued function on the boundary of a rectangle in the complex plane.

MSC:
34K20 Stability theory of functional-differential equations
34K40 Neutral functional-differential equations
34K10 Boundary value problems for functional-differential equations
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