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arXiv 1904.01985math.OCcs.SYeess.SY
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约束非线性系统的极大鲁棒正不变集

On Maximal Robust Positively Invariant Sets in Constrained Nonlinear Systems

Willem Esterhuizen, Tim Aschenbruck, Stefan Streif

摘要:

本文研究了状态约束连续时间非线性系统在有界扰动下的最大鲁棒正不变集。扩展结果的理论障碍,我们表明,这一套是封闭的,它的边界由两个互补的部分,其中之一,我们命名的不变性障碍,它包括满足最大值原理的轨迹。

英文摘要:

In this technical communique we study the maximal robust positively invariant set for state-constrained continuous-time nonlinear systems subjected to a bounded disturbance. Extending results from the theory of barriers, we show that this set is closed and that its boundary consists of two complementary parts, one of which we name the invariance barrier, which consists of trajectories that satisfy the maximum principle.

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。

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