一类变系数时滞线性系统的脉冲控制

在线性系境的脉冲控制研究中,传统的脉冲控制方法存在以下同题,(1)存在脉冲控制的向量单侧连续和满足原系统方程的矛盾;(2)脉冲同步控制系统的模型缺陷使得脉冲作用点实际上是系统的可去间断点。针对以上问题研究了一类脉冲控制方法,给出了此类脉冲拉制函数的具体表达式．解决了脉冲作用后的状态向量的单侧连续。突破传统方法处理此类问题时单侧连续的假设模式,并给出了相应的实例分析,得出了此类线性时变系统可脉冲控制的结论。

Impulsive Control of a Class of Linear Delay Systems with Variable Coefficients

Two restraints exist in the traditional impulsive control method as follows:(1)the unilateral continuity and the solution of the original system are incompatible;(2)the impulse point is a removable discontinuity point because the model of the synchronous system is defective.An impulsive control method is discussed and the expression of the impulsive controlling function is given,thus solving the hypothetic mode of state vectors in traditional methods.Numerical results show that the linear delay system can he impulsively controlled.