<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MICHAEL GIL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ABSOLUTE AND INPUT-TO-STATE STABILITIES OF NONAUTONOMOUS SYSTEMS WITH CAUSAL MAPPINGS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K20</style></keyword><keyword><style  face="normal" font="default" size="100%">34K99</style></keyword><keyword><style  face="normal" font="default" size="100%">93D05</style></keyword><keyword><style  face="normal" font="default" size="100%">93D25</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2009</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/18/43-DSA-210.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">18</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We consider systems governed by the scalar equation Xn k=0 ak(t)x (n−k) (t) = [Fx](t) (t ≥ 0), where a0 ≡ 1; ak(t) (k = 1, . . ., n) are positive continuous functions and F is a causal mapping. We also consider the case when F depends on the input. Such equations include differential, integrodifferential and other traditional equations. It is assumed that all the roots rk(t) (k = 1, . . ., n) of the polynomial z n + a1(t)z n−1 + · · · + an(t) are real and negative for all t ≥ 0. Exact explicit conditions for the absolute and input-to-state stabilities of the considered systems are established.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">655</style></section></record></records></xml>