严格稳定线性控制系统无限时间可达集的线性规划逼近方法
A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems
摘要：
提出了一种新的数值方法来逼近严格稳定线性控制系统的无穷时间可达集。通过求解一个线性规划的约束，结合系统动力学，我们计算一个多面体与固定面法线作为外近似的极限集。特别是，这种方法不依赖于有限时间可达集的前向迭代。
英文摘要：
We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that incorporates the system dynamics, we compute a polytope with fixed facet normals as an outer approximation of the limit set. In particular, this approach does not rely on forward iteration of finite-time reachable sets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
