摘要
本文通过构造一系列辅助泛函,并结合不等式估值方法,对线性中立型系统的稳定性进行了讨论,获得了若干充分判别准则.此方法克服了中立型系统构造 Liapunov 泛函的困难,为这类问题的研究提供了另外一种方法和途径.
In this paper,the author discuss the stability of the linear neutral type systems with time-delay by a new method-auxiliary functional method.Through combining constructing a set of auxiliary functions with inequality analysis,the author obtain the new conditions of zero solution stability for neutral systems without the difficuties in establishing Liapunov function in accordance with the neutral systems.
关键词
中立型系统
稳定性
辅助泛函
neutral type system
stability
auxiliary function.