摘要
本文讨论了一类多项式系统的D-稳定性,给出了一类离散动力系统稳定或渐近稳定的充要条件,解决了其稳定性的判别,推广了Husainov和Nikiforova等人近期获得的结果。然后引入辅助多项式,获得了多项式系统新的D-稳定性判据和Scher稳定性判据。
The D-stability of a kind of polynomials is discussed, given are the sufficient and necessary conditions of stability for the kinds of discrete dynamic systems, which solves the problem of stable test for the kinds of polynomials. The main results obtained by XycaИHOB and HИKИФopoBa are solved recently. An auxiliary polynomial is defined and the new tests are obtained for D-stability and Schur stability.
出处
《工程数学学报》
CSCD
北大核心
2005年第5期853-858,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(19831030).
