摘要
研究一类非线性不确定系统的生存性问题.基于支撑函数,给出了此系统在凸紧集下可生存的充要条件.当生存域为多面体时,分别针对多面体和的形式和交的形式给出了系统生存的充分条件.最后给出的算例表明了所提出方法的有效性,同时表明所得结果实际上给出了某类切换系统的生存性条件.
The problem of viability for a class of nonlinear uncertain systems is studied. A sufficient and necessary condition of viability for the convex compact set under this system via support functions is presented. When the viable set is a polytope, sufficient conditions for the sum form and intersection form of the polytope are given to determine the viability. Finally, a numerical example is presented to illustrate the result, and the example shows that the main result also gives a condition of viability for a kind of switched systems.
出处
《控制与决策》
EI
CSCD
北大核心
2014年第5期867-872,共6页
Control and Decision
基金
国家自然科学基金项目(11171221
40901241)
上海市科委与地方院校能力建设项目(10550500800)
关键词
不确定系统
切换系统
生存性
uncertain system
switched system
viability
