Simple sufficient conditions for integer stabilizability of discrete-time systems with relative degree one

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-09-26 DOI:10.1016/j.automatica.2025.112624

Mohammad Saleh Tavazoei

引用次数: 0

Abstract

In this paper, firstly the concept of integer stabilizability is defined. It is discussed that the main motivation for introducing this concept is its helpfulness in achieving homomorphic encrypted control systems involving no computational overflow. Then, some simple sufficient conditions to ensure integer stabilizability of discrete-time systems described by transfer functions with relative degree one are derived. The usefulness of achievements of the paper is verified by a numerical example.

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相对次数为1的离散系统整数稳定的简单充分条件

本文首先定义了整数可镇定性的概念。讨论了引入这一概念的主要动机是它有助于实现无计算溢出的同态加密控制系统。然后，导出了用相对次数为1的传递函数描述的离散系统的整数稳定的几个简单充分条件。通过数值算例验证了本文研究成果的有效性。

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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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.