具有时变代价的最优控制问题的稳定性分析

IEEE Robotics Autom. Mag. Pub Date : 2022-10-13 DOI:10.48550/arXiv.2210.07142

Sifeddine Benahmed, R. Postoyan, Mathieu Granzotto, L. Buşoniu, J. Daafouz, D. Nešić

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引用次数: 0

摘要

我们给出了确定性时变非线性离散系统的稳定性条件，该系统的输入以最小化无限视界时变代价为目标。建立了一般吸引子的全局渐近稳定性和指数稳定性。这项工作涵盖并推广了贴现最优控制问题的相关结果到更一般的系统和成本函数。

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Stability analysis of optimal control problems with time-dependent costs

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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IEEE Robotics Autom. Mag.

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