摘要
主要目的研究Banach空间中广义发展算子的一致指数稳定性.应用泛函分析和算子理论得到了一致指数稳定的充要条件.所得结果对于研究时变广义分布参数系统及广义发展算子的稳定性都具有重要的理论及应用价值.
The main purpose of this paper is to study the uniformly exponential stability of generalized evolution operator in Banach space. The necessary and sufficient conditions for uniformly exponential stability are obtained via functional analysis and operator theory. This research is theoretically and applicably important for studying the stability of time varying singular distributed parameter systems and generalized evolution operator.
出处
《应用数学学报》
CSCD
北大核心
2016年第6期811-822,共12页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(61174081)资助项目
