Simple uniform exponential stability conditions for a system of linear delay differential equations
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摘要
Uniform exponential stability of linear systems with time varying coefficientsẋi(t)=-∑j=1m∑k=1rijaijk(t)xj(hijk(t)),i=1,…,mis studied, where t⩾0,m and rij,i,j=1,…,m are natural numbers, aijk:[0,∞)→R and hijk:[0,∞)→R are measurable functions. New explicit result is derived with the proof based on Bohl–Perron theorem. The resulting criterion has advantages over some previous ones in that, e.g., it involves no M-matrix to establish stability. Several useful and easily verifiable corollaries are deduced and examples are provided to demonstrate the advantage of the stability result over known results.
论文关键词:Uniform exponential stability,Linear delay differential system,Bohl–Perron theorem
论文评审过程:Available online 22 November 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.10.117