具有时滞的离散分数线性系统的稳定性

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

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2019.130205

A. Ruszewski, A. Ruszewski

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引用次数: 13

摘要

给出了一类具有时滞的离散分数阶线性系统的稳定性分析。考虑了差分存在时移的状态空间模型。建立了实际稳定和渐近稳定的充分必要条件。我们还考虑了在时滞时刻状态方程中只有一个矩阵的系统。在这种情况下，给出了渐近稳定的解析条件。此外，还给出了实际稳定区域和渐近稳定区域边界的参数描述。

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Stability of discrete-time fractional linear systems with delays

The stability analysis for discrete-time fractional linear systems with delays is presented. The state-space model with a time shift in the diﬀerence is considered. Necessary and suﬃcient conditions for practical stability and for asymptotic stability have been established. The systems with only one matrix occurring in the state equation at a delayed moment have been also considered. In this case analytical conditions for asymptotic stability have been given. Moreover parametric descriptions of the boundary of practical stability and asymptotic stability regions have been presented.

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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.