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。
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.
本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。
The energy app roach (Hamilton's principle) is employed to obtain the governing partial differential equation of motion from the expressions of potential and kinetic energies of the system.
通过系统的动能和势能表达式，应用哈密尔顿原理，可获得主导偏微分运动方程。
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