This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular, we propose a set-theoretic generalization of the concept of dissipativity for systems that are affected by external disturbances. The corresponding theoretical developments build upon set based analysis methods and lay a general theoretical foundation for a rigorous stability analysis of economic tube model predictive controllers.

中文翻译：

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耗散性的理论集合及其在Tube MPC中的应用

本文介绍了一个框架，用于分析具有给定状态，控制和扰动约束的一类不确定的非线性离散时间系统。特别是，我们提出了关于受外部干扰影响的系统的耗散性概念的理论集合。相应的理论发展建立在基于集合的分析方法的基础上，并为经济管模型预测控制器的严格稳定性分析奠定了一般的理论基础。