Linear delayed differential systems x˙i(t)=∑j=1m∑k=1rijaijk(t)xj(hijk(t)),i=1,⋯,mare considered on a half-infinity interval t≥ 0. It is assumed that m and rij, i, j= 1 , ⋯ , m are natural numbers and the coefficients aijk:[0,∞)→R and delays hijk:[0,∞)→R are Lebesgue measurable functions. New explicit results on uniform exponential stability, depending on all delays, are derived. The conditions obtained do not require the dominance of diagonal terms over the off-diagonal terms as most of the existing stability tests for non-autonomous delay differential systems do.
- Conditions depending on all delays
- Exponential stability
- Linear delayed differential system
- Matrix measure
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