论文标题

最佳控制问题与时间相关成本的稳定性分析

Stability analysis of optimal control problems with time-dependent costs

论文作者

Benahmed, Sifeddine, Postoyan, Romain, Granzotto, Mathieu, Buşoniu, Lucian, Daafouz, Jamal, Nešić, Dragan

论文摘要

我们提出了确定时间变化的非线性离散时间系统的稳定性条件,其输入旨在最大程度地降低无限马依赖时间依赖的成本。建立了一般吸引子的全球渐近稳定性和指数稳定性。这项工作涵盖并概括了有关折扣最佳控制问题的相关结果,并涉及更通用的系统和成本功能。

We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general attractors are established. This work covers and generalizes the related results on discounted optimal control problems to more general systems and cost functions.

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