具有时滞和非局部条件的时变半线性非瞬时脉冲系统的可控性

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.2022.141715

Dalia Cabada, Katherine Garcia, Cristi D. Guevara, H. Leiva

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引用次数: 2

摘要

本文证明了考虑非瞬时脉冲、时滞和非局部条件同时存在的时变半线性系统的精确可控性。利用Rothe不动点定理，结合非线性项上的一些次线性条件、脉冲函数和描述非局部条件的函数来实现。进一步，给出了一种将半线性系统从初始状态转向最终状态的控制方法。

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Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions

In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously. It is done by using the Rothe’s ﬁxed point theorem together with some sub-linear conditions on the nonlinear term, the impulsive functions, and the function describing the nonlocal conditions. Furthermore, a control steering the semilinear system from an initial state to a ﬁnal state is exhibited.

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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.