具有不可用停留时间信息的半马尔可夫跃迁线性系统的稳定性分析和稳定化

IF 7.3 2区 计算机科学 Q1 COMPUTER SCIENCE, INFORMATION SYSTEMS
Xiaotai Wu, Yang Tang, Shuai Mao, Ying Zhao
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引用次数: 0

摘要

本研究解决的是不可用在途时间信息的离散时间半马尔可夫跃迁线性系统(S-MJLS)的稳定性和稳定问题。离散时间半马尔可夫链的瞬时概率质量函数(S-TPMFs)不再局限于几何分布,在实际应用中很难获得准确而全面的 S-TPMFs 信息。这是因为 S-TPMF 通常是根据采样数据的统计特征推导出来的,而充分的采样往往成本高、耗时长。在本研究中,当半马尔可夫链的 S-TPMF 假设不可用时,研究了离散时间 S-MJLS 的 σ 误差均方稳定性,并给出了一些广泛使用的假设;对于半马尔可夫链,只使用嵌入链的过渡概率矩阵。此外,在不使用 S-TPMF 信息的情况下,为闭环系统提供了有效控制器的存在条件。为说明所获理论结果的正确性,还给出了数值示例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability analysis and stabilization of semi-Markov jump linear systems with unavailable sojourn-time information

This study addresses the stability and stabilization problems of discrete-time semi-Markov jump linear systems (S-MJLSs) with unavailable sojourn-time information. The sojourn-time probability mass functions (S-TPMFs) of discrete-time semi-Markov chains are no longer confined to the geometric distribution, and it is difficult to obtain accurate and comprehensive information for S-TPMFs in practice. This is because S-TPMFs are usually deduced from the statistical characteristics according to the sampled-data, while adequate samples are often costly and time consuming. In this study, when the S-TPMFs for semi-Markov chains are assumed to be unavailable, the σ-error mean square stability is investigated for discrete-time S-MJLSs with some widely used assumptions; for semi-Markov chains, only the transition probability matrix of the embedded chain is used. In addition, the existence conditions of the effective controller are provided for closed-loop systems without using the information of S-TPMFs. Numerical examples are presented to illustrate the validity of the obtained theoretical results.

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来源期刊
Science China Information Sciences
Science China Information Sciences COMPUTER SCIENCE, INFORMATION SYSTEMS-
CiteScore
12.60
自引率
5.70%
发文量
224
审稿时长
8.3 months
期刊介绍: Science China Information Sciences is a dedicated journal that showcases high-quality, original research across various domains of information sciences. It encompasses Computer Science & Technologies, Control Science & Engineering, Information & Communication Engineering, Microelectronics & Solid-State Electronics, and Quantum Information, providing a platform for the dissemination of significant contributions in these fields.
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