具非线性控制变量系统的等时区域

The Reachable Set of System with Nonlinear Control

严格证明了，当控制区域为有界闭集时，状态变量为线性而控制变量为非线性的系统的等时区域是有界凸闭集，从而用等时区域方法能彻底解决这类系统的时间最优控制问题．

It is proved in this paper that, the reachable set of system, in which the state varible is linear and control varible is nonlinear, must be boundedly convex-closed set provided that the control domain is boundedly closed set. Therefor the time optimal control problem for this system is solved by reachable set method.