Robust set invariance and contractivity of discrete-time systems: The generators approach

G. Bitsoris, M. Vassilaki
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Abstract

In this paper, the problem of robust set invariance and contractivity with respect to discrete-time dynamical systems is investigated. In contrast to the usual approach consisting in describing regions of system's space by their border surfaces, a dual description of sets in terms of a generator matrix and a, generally nonlinear, generating function is proposed. This leads to the establishment of an associated generated system whose robust set invariance and/or contractivity properties imply corresponding properties for the initial system. This general result is then applied to the development of robust set invariance and/or robust contractivity conditions for linear systems.
离散系统的鲁棒集不变性和收缩性:生成器方法
研究了离散时间动力系统的鲁棒集不变性和可收缩性问题。与通常用边界曲面来描述系统空间区域的方法不同,本文提出了一种用生成矩阵和一般非线性生成函数来描述集合的对偶方法。这导致建立一个相关的生成系统,其鲁棒集不变性和/或收缩性意味着初始系统的相应性质。然后将这一一般结果应用于线性系统的鲁棒集不变性和/或鲁棒收缩性条件的发展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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