连续时间和离散时间线性系统凸线性组合的稳定性

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Archives of Control Sciences Pub Date : 2024-01-12 DOI:10.24425/acs.2023.148881

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引用次数: 0

摘要

研究了连续时间和离散时间线性系统的凸线性组合的渐近稳定性。利用格什高林定理证明，线性渐近稳定的连续时间和离散时间线性系统的凸线性组合也是渐近稳定的。研究表明，上述定理对于正线性系统也是有效的（甚至更简单）。

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Stability of convex linear combinations of continuous-time and discrete-time linear systems

The asymptotic stability of the convex linear combination of continuous-time and discrete-time linear systems is considered. Using the Gershgorin theorem it is shown that the convex linear combination of the linear asymptotically stable continuous-time and discretetime linear systems is also asymptotically stable. It is shown that the above thesis is also valid (even simpler) for positive linear systems.

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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.