L2-stability of vector equations with nonlinear causal mappings

被引：0
作者：
Gil, M. I. [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2008年 / 17卷 / 01期
关键词：
causal mappings; differential equations; differential delay equations; difference equations with continuous time; L-2-stability; absolute stability; input-to-state stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nonlinear vector equations with causal mappings are considered. These equations include differential, difference, differential-delay, integro-differential and other traditional equations. Estimates for the L-2-norm of solutions are established. The obtained estimates give us explicit conditions for the L-2-stability, absolute stability and input-to-state stability of the considered equations as well as bounds for the regions of attraction of stationary states. The suggested approach enables us to consider various classes of equations from the unified point of view.
引用
收藏
页码：201 / 219
页数：19
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