Consider the distributed parameter system described by the second order partial differential equation of composed type, we discuss its a boundary optimal control problem with quadratic performance.

考虑用二阶复合型偏微分方程所描述的分布参数系统，研究了它的一个使平方性能指标达到最小值的边界最优控制问题。

youdao

This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.

本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。

youdao

The governing equations for the problem is modified into a second-order nonlinear differential system with two infinitesimal parameters and a double parameter multiple scale method is presented.

将该问题的基本方程化为具有两个小参数的二阶非线性方程组，并在双参数摄动法和单参数多重尺度法的基础上提出了双参数多重尺度法。

youdao