TOWARDS OPTIMAL SPACE-TIME DISCRETIZATION FOR REACHABLE SETS OF NONLINEAR CONTROL SYSTEMS

被引：0

作者：

Rieger, Janosch ^{[1
]}

Wawryk, Kyria ^{[1
]}

机构：

[1] Monash Univ, Melbourne, Vic, Australia

来源：

JOURNAL OF COMPUTATIONAL DYNAMICS | 2024年 / 11卷 / 02期

关键词：

Reachable sets; control systems; numerical approximation; efficient discretization; Euler's method; EULER SCHEME; APPROXIMATION; OPTIMIZATION; CONVERGENCE; STABILITY;

D O I：

10.3934/jcd.2023013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Reachable sets of nonlinear control systems can in general only be approximated numerically, and these approximations are typically very expensive to compute. In this paper, we explore a strategy for choosing the temporal and spatial discretizations of Euler's method for reachable set computation in a non-uniform way to improve the performance of the method.

引用

页码：153 / 173

页数：21

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