Abstract

We focus on finding sparse and least-\(\ell _1\)-norm solutions for unconstrained nonlinear optimal control problems. Such optimization problems are non-convex and non-smooth, nevertheless recent versions of Newton method for under-determined equations can be applied successively for such problems.

中文翻译：

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欠确定系统的牛顿法最优控制的稀疏解

摘要

我们专注于找到无约束非线性最优控制问题的稀疏和最小\（\ ell _1 \）-范数解。这样的优化问题是非凸的和非光滑的，但是对于欠定方程，牛顿法的最新版本可以相继应用于此类问题。