中文摘要：

鉴于非线性系统分析的核心归结为系统状态方程的求解,针对一般非线性控制系统,引入由状态量、控制量与自变量时间t为坐标构成的＂广义时态空间＂.为了求解非线性状态方程,在广义时态空间（tk,x（k）,u（k））处将方程的右端展开为（t？tk）的Taylor级数,通过直接积分获得了非线性控制系统状态方程关于自变量时间（τ=t？tk）的级数解,并证明了解的收敛性.

英文摘要：

The kernel of nonlinear system analysis is the solving of system state equation.Therefore,for a general nonlinear control system,the concept of general time-state space comprising of state variables,control variable,and time t is introduced.In order to solve the state equation of nonlinear control systems,at the operation point（tk,x（k）,u（k）） of general time-state space,the right side of the state equation can be expanded as Taylor series about（t ？ tk）.Then the series solution of the nonlinear control state equation,for which the solution is expression in（t ？ tk） series,can be obtained by using direct-integrating approach.Finally,the convergence of the solution is proved.