摘要
主要目的是研究一类非线性控制系统解的渐近性质· 通过建立沿着解的无穷积分和借助于积分形式的ＬａＳａｌｌｅ 不变原理，得到了关于系统解的二分性和全局渐近性的判别准则· 改进和进一步发展了Айсагалиев所得到的研究方法与结论·
In this paper the asymptotical behaviour solutions of a class of nonlinear control systems are studied. By establishing infinite integrals along solutions of the system and drawing support from a LaSalle's invariance principle of integral form, criteria of dichotomy and global asymptotical behaviour of solutions are obtained. This work is an improvement and further extension of research methods and results of ? ¨? Айсагалиев.
出处
《应用数学和力学》
EI
CSCD
北大核心
1999年第12期1301-1308,共8页
Applied Mathematics and Mechanics
基金
国家教委留学回国人员科研启动基金
关键词
非线性控制系统
二分性
全局渐近性
解
渐近性质
nonlinear control system
integral along solution
dichotomy
global asymptotical behaviour
invariance principle.
