论文标题
在状态限制的扰动下，解决方案对受控非线性系统的稳定性
Stability of solutions for controlled nonlinear systems under perturbation of state constraints
论文作者
论文摘要
本文在某些时间变化的状态限制下，解决了非线性系统的问题，具有均方根增长但无界的控制。结果表明，给定一个要近似的轨迹，可以找到一个位于约束内部的相邻轨迹，并且可以任意接近参考轨迹，均以$ l^\ infty $ distance和$ l^2 $ l^2 $ -CONTROL成本。该结果是证明基于内部解决方案的状态约束的近似方案的收敛性，并且适用于控制型系统的重要工具。
This paper tackles the problem of nonlinear systems, with sublinear growth but unbounded control, under perturbation of some time-varying state constraints. It is shown that, given a trajectory to be approximated, one can find a neighboring one that lies in the interior of the constraints, and which can be made arbitrarily close to the reference trajectory both in $L^\infty$-distance and $L^2$-control cost. This result is an important tool to prove the convergence of approximation schemes of state constraints based on interior solutions and is applicable to control-affine systems.
