Stability and robust stability of positive linear Volterra difference equations
Stability and robust stability of positive linear Volterra difference equations
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DOI：
10.1002/rnc.1335
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发表时间：
2009-03
影响因子：
3.9
通讯作者：
P. H. A. Ngoc;Toshiki Naito;J. Shin;S. Murakami
中科院分区：
文献类型：
--
作者：
P. H. A. Ngoc;Toshiki Naito;J. Shin;S. Murakami
首先引入一类正线性沃尔泰拉差分方程。然后，我们给出了正方程一致渐近稳定的显式判据。进一步，我们得到了正线性沃尔泰拉差分方程的一个新的Perron-Frobenius定理.最后，我们研究了正方程在结构扰动和仿射扰动下的鲁棒稳定性。两个明确的稳定性界限，这些扰动。版权所有© 2008约翰威利父子有限公司。
We first introduce a class of positive linear Volterra difference equations. Then, we offer explicit criteria for uniform asymptotic stability of positive equations. Furthermore, we get a new Perron–Frobenius theorem for positive linear Volterra difference equations. Finally, we study robust stability of positive equations under structured perturbations and affine perturbations. Two explicit stability bounds with respect to these perturbations are given. Copyright © 2008 John Wiley & Sons, Ltd.