adjoint variable造句

• Based on the general mathematical models of multibody system dynamics such as the kinematics models of multibody dynamical systems , the ordinary differential equation models and the differential algebraic equation models of dynamics , general forms of the sensitivity equations of the systems are deduced by using direct differentiation method and adjoint variable method
  基于通用的多体机械系统运动学数学模型，常微分方程形式的动力学数学模型、微分/代数方程形式的动力学数学模型分别采用直接微分方法、伴随变量方法推导出了系统的状态灵敏度方程的通用形式。对于微分/代数形式的数学模型
• In the computational methods of tpbvp , in order to reduce some difficulties involved in solving a tpbvp via adjoint variables , we discuss a direct method in which state and control variables are indirectly parameterized , the method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables , thus converting the optimal control problem into a nonlinear programming problem , which can be solved numerically . it makes the initial iterative variable more easy to be determined
  在数值解法中，为了减少解决两点边值问题共轭变量带来的困难，主要讨论了将状态变量和控制变量进行参数化的一种直接方法，这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法，然后最优控制问题就转化成可以用数值方法解决的非线性规划问题，使得迭代初值更加容易选取。