Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627221 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Leonid Berezansky, Josef Diblík, Zdeněk Svoboda, Zdeněk Šmarda,