Hilbert空间中非线性随机脉冲切换系统的可控性

IF 2.7 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Asian Journal of Control Pub Date : 2024-10-15 DOI:10.1002/asjc.3518

Shahin Ansari, Muslim Malik

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引用次数: 0

摘要

研究了无限维空间中具有非瞬时脉冲的非线性一阶随机开关控制系统。利用线性算子的半群理论和不动点方法，得到了主要结果。首先，我们提出了该系统的温和解决方案。然后，给出了保证总可控性和轨迹可控性的充分条件。进一步，为了验证研究，我们提供了实例。

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Controllability of nonlinear stochastic impulsive switched systems in Hilbert spaces

In this paper, nonlinear first order stochastic switched control systems with non-instantaneous impulses (NIIs) in infinite-dimensional spaces are considered. Semigroup theory of linear operators and a fixed-point approach are used to develop the main results. First, we present the mild solution for the proposed system. Then, we derive sufficient conditions to ensure the total controllability and trajectory controllability results. Further, to validate the study, we provide examples.

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来源期刊

Asian Journal of Control 工程技术-自动化与控制系统

CiteScore

4.80

自引率

25.00%

发文量

253

审稿时长

7.2 months

期刊介绍： The Asian Journal of Control, an Asian Control Association (ACA) and Chinese Automatic Control Society (CACS) affiliated journal, is the first international journal originating from the Asia Pacific region. The Asian Journal of Control publishes papers on original theoretical and practical research and developments in the areas of control, involving all facets of control theory and its application. Published six times a year, the Journal aims to be a key platform for control communities throughout the world. The Journal provides a forum where control researchers and practitioners can exchange knowledge and experiences on the latest advances in the control areas, and plays an educational role for students and experienced researchers in other disciplines interested in this continually growing field. The scope of the journal is extensive. Topics include: The theory and design of control systems and components, encompassing: Robust and distributed control using geometric, optimal, stochastic and nonlinear methods Game theory and state estimation Adaptive control, including neural networks, learning, parameter estimation and system fault detection Artificial intelligence, fuzzy and expert systems Hierarchical and man-machine systems All parts of systems engineering which consider the reliability of components and systems Emerging application areas, such as: Robotics Mechatronics Computers for computer-aided design, manufacturing, and control of various industrial processes Space vehicles and aircraft, ships, and traffic Biomedical systems National economies Power systems Agriculture Natural resources.