%0 Journal Article
%T SPHERE, CYLINDROID, CONE AND NONLINEAR CONTROL SYSTEM<br>球面、柱面、锥面与非线性控制系统
%A Hong WANG
%A Yong Wen DU
%A <br>王红
%A 杜永文
%J 系统科学与数学
%D 2001
%I 
%X In this paper, from the global viewpoint we first define the nonlinear control system on a two dimensional surface in the three dimensional Euclidean space, give the representation of the state equation under a local coordinate system of the surface, and study the connection between the equilibrium state of the nonlinear system and the geodesics on the surface. Secondly, we show the intimate relation between the nonlinear control system and the special geometrical structure and singular structure of a sphere, a cylindroid and a cone. Moreover, we discuss the local and global controllability and observability of the nonlinear system on the sphere, the cylindroid and the cone.
%K Nonlinear system
%K state curve
%K geometrical structure
%K controllability
%K observability<br>非线性系统，状态曲线，几何结构，能控性，能观测性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=7442AB5E0F97B393&yid=14E7EF987E4155E6&vid=659D3B06EBF534A7&iid=0B39A22176CE99FB&sid=D5C9DC4EF2F78008&eid=73579BC9CFB2D787&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=7&reference_num=14