Simple stability criterion for a class of delay differential systems

Mikołaj Busłowicz · International Journal of Systems Science · 1987

A linear delay differential system of the form [xdot](t) = Ax(t — h), x(t) ∊ Rn is considered and simple analytic necessary and sufficient conditions for asymptotic stability are derived. The criterion is given in terms of the eigenvalues of the matrix A and the time delay h.

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