论文标题
优化非线性二阶差分不平等的系统
Optimization of System of Nonlinear Second Order Differential Inequalities
论文作者
论文摘要
本文通过凸出和非凸，离散和差异状态变量的不平等限制的系统来优化Bolza问题，通过得出最佳条件，以实现最佳状态。根据拟议的离散方法和亚分化夹杂物的等效定理，研究了一个离散及差异不等式系统的问题，这在给定的非线性不等式约束系统产生的伴随离散夹杂物产生。此外，在极限情况下，我们获得了足够的条件，以实现连续问题的最佳性。提出了一个数值示例，以说明理论结果。
This paper deals with the optimization of Bolza problem with a system of convex and nonconvex, discrete and differential state variable inequality constraints of second order by deriving necessary and sufficient conditions for optimality. According to proposed discretization method and equivalence theorems for subdifferential inclusions, the problem with a system of discrete-approximation inequalities are investigated which highly contributes to the derivation of adjoint discrete inclusions generated by given system of nonlinear inequality constraints. Moreover, in the limit case, we obtain sufficient conditions for optimality of the continuous problem. A numerical example is presented to illustrate the theoretical result.
