广义分数二维状态空间模型的稳定边际

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2024-03-29 DOI:10.24425/acs.2024.149650

Souad Salmi, D. Bouagada

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引用次数: 0

摘要

本文考虑了一类新的二维分数线性系统。受干扰系统的稳定半径是根据 H ∞ 规范描述的。用线性矩阵不等式提供了确保闭环系统稳定裕度的充分条件。还考虑了这些系统的 D 稳定区域的概念。我们还提供了一些例子来验证我们主要结果的适用性。

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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Stability margins for generalized fractional two-dimensional state space models

In this paper, a new class of bidimensional fractional linear systems is considered. The stability radius of the disturbed system is described according to the H ∞ norm. Sufficient conditions to ensure the stability margins of the closed-loop system are offered in terms of linear matrix inequalities. The concept of D stability region for these systems is also considered. Examples are provided to verify the applicability of our main result.

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.