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Boundary Control for cooperative Elliptic systems under Conjugation Conditions

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Advances in Pure Mathematics 2021年第5期11卷 457-471页

作者： H. M. Serag L. M. Abd-Elrhman A. A. Alsaban Department of Mathematics Faculty of Science Al-Azhar University Nasr City Cairo Egypt Nasr City Cairo Egypt Department of Mathematics Faculty of Science Ibb University Ibb Yemen

The existence and uniqueness of the state for 2 × 2 Dirichlet cooperative elliptic systems under conjugation conditions are proved using Lax-Milgram lemma, then the boundary control for these systems is discussed. The set of equations and inequalities that characterizes this boundary control is found by theory of Lions, Sergienko and Deineka. The problem for cooperative Neumann elliptic systems under conjugation conditions is also considered. Finally, the problem for n × n cooperative elliptic systems under conjugation conditions is established.

关键词： cooperative systems Conjugation Conditions Dirichlet and Neumann Conditions Existence and Uniqueness of Solutions Boundary Control

A joint mid-course and terminal course cooperative guidance law for multi-missile salvo attack

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Chinese Journal of Aeronautics 2018年第6期31卷 1311-1326页

作者： Jie ZENG Lihua DOU Bin XIN School of Automation Beijing Institute of Technology Beijing 100081 China State Key Laboratory of Intelligent Control and Decision of-Complex systems Beijing 100081 China

Salvo attacking a surface target by multiple missiles is an effective tactic to enhance the lethality and penetrate the defense system. However, existing cooperative guidance laws in the midcourse or terminal course are not suitable for long-and medium-range missiles or stand-off attacking. Because the initial conditions of cooperative terminal guidance that are generally generated from the mid-course flight may not lead to a successful cooperative terminal guidance without proper mid-course flight adjustment. Meanwhile, cooperative guidance in the mid-course cannot solely guarantee the accuracy of a simultaneous arrival of multiple missiles. Therefore, a joint mid-course and terminal course cooperative guidance law is developed. By building a distinct leader-follower framework, this paper proposes an efficient coordinated Dubins path planning method to synchronize the arrival time of all engaged missiles in the mid-course flight. The planned flight can generate proper initial conditions for cooperative terminal guidance, and also benefit an earliest simultaneous arrival. In the terminal course, an existing cooperative proportional navigation guidance law guides all the engaged missiles to arrive at a target accurately and *** integrated guidance law for an intuitive application is summarized. Simulations demonstrate that the proposed method can generate fast and accurate salvo attack.

关键词： cooperative systems Dubins path Mid-course flight Missile guidance Salvo attack

cooperative system analysis of the Ebola virus epidemic model

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Infectious Disease Modelling 2018年第1期3卷 145-159页

作者： Karima Kabli Soumia El Moujaddid Khadija Niri Abdessamad Tridane Department of Mathematics and Computing Ain Chock Science FacultyHassan II UniversityCasablancaMorocco Department of Mathematical Sciences United Arab Emirates UniversityP.O.Box 15551Al AinUnited Arab Emirates

This paper aims to study the global stability of an Ebola virus epidemic *** this epidemic ended in September 2015,it devastated several West African countries and mobilized the international *** the recent cases of Ebola in the Democratic Republic of the Congo(DRC),the threat of the reappearance of this fatal disease ***,we are obligated to be prepared for a possible re-emerging of the *** this work,we investigate the global stability analysis via the theory of cooperative systems,and we determine the conditions that lead to global stability diseases free and endemic equilibrium.

关键词： Ebola virus Basic reproduction number cooperative systems Global stability Varying population size

The VILMA intelligent vehicle:an architectural design for cooperative control between driver and automated system

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Journal of Modern Transportation 2018年第3期26卷 220-229页

作者： Olmer Garcia Giovani Bernardes Vitor Janito Vaqueiro Ferreira Pablo Siqueira Meirelles Arthurde Miranda Neto Universidad de Bogota Jorge Tadeo Lozano BogotaColombia Robotics Intelligent and Complex Systems(RobSIC)LabUniversidade Federal de Itajuba′(UNIFEI)ItabiraMGBrazil Autonomous Mobility Lab at the Universidade Estadual de Campinas(UNICAMP)CampinasSP 13083-860Brazil Terrestrial Mobility Lab at the Universidade Federal de Lavras (UFLA)LavrasMG 37200-000Brazil

Intelligent autonomous vehicles have received a great degree of attention in recent years. Although the technology required for these vehicles is relatively advanced, the challenge is firstly to ensure that drivers can understand the capabilities and limitations of such systems and secondly to design a system that can handle the interaction between the driver and the automated intelligent system. In this study, we describe an approach using different strategies for an autonomous system and a driver to drive a vehicle cooperatively. The proposed strategies are referred to as cooperative planning and control and determine when and how the path projected by the autonomous system can be changed safely by the driver to a path that he wishes to follow. The first phase of the project is described, covering the design and implementation of an autonomous test vehicle. Experiments are carried out with a driver to test the cooperative planning and control concepts proposed here.

关键词： Autonomous vehicles Embedded systems cooperative systems Visual servoing

Multi-agent Control of High Redundancy Actuation

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International Journal of Automation and computing 2014年第1期11卷 1-9页

作者： Jessica Davies Roger Dixon Roger M.Goodall Thomas Stefen Lancaster Environment Centre Lancaster University School of Electrical Electronic & Systems EngineeringLoughborough University Department of Aeronautical and Automotive Engineering Loughborough University

The high redundancy actuator(HRA)concept is a novel approach to fault tolerant actuation that uses a high number of small actuation elements,assembled in series and parallel in order to form a single actuator which has intrinsic fault *** this structure afords resilience under passive control methods alone,active control approaches are likely to provide higher levels of performance.A multiple-model control scheme for an HRA applied through the framework of multi-agent control is presented *** application of this approach to a 10×10 HRA is discussed and consideration of reconfguration delays and fault detection errors are *** example shows that multi-agent control can provide tangible performance improvements and increase fault tolerance in comparison to a passive fault tolerant *** delays are shown to be tolerable,and a strategy for handling false fault detections is detailed.

关键词： Fault tolerance actuators intelligent control redundancy intelligent actuators cooperative systems

Performance Analysis for Amplify-and-Forward Relay Selection with Outdated Channel State Information

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China Communications 2013年第6期10卷 100-110页

作者：钟斌张中山皇甫伟王军隆克平 Institute of Advanced Network Technology and New Services(ANTS) and Beijing Engineering and Technology Research Center for Convergence Networks and Ubiquitous Services University of Science and Technology Beijing

The impact of outdated Channel State Information(CSI) on the performance of relay selections,including the partial relay selection and the best relay selection,is studied,with respect to Amplify-and-Forward(AF) mode cooperative *** proposed method is analysed by deriving the asymptotic closedform expressions for some figures of merit such as the outage probability and the Symbol Error Probability(SEP).Moreover,the validity of the proposed theoretical analysis is proven via *** results prove that the performance of the proposed scheme is impacted considerably by various parameters such as the number of candidate relays and the end-to-end Signal-to-Noise Ratio(SNR).In the presence of cooperative networks with outdated CSI feedback,a performance improvement of more than 3 dB in terms of either outage probability or SEP can be observed by utilizing the Source-to-Destination(S D) link rather than the method of simply increasing the number of relays.

关键词： relays AF outage probability SEP outdated CSI cooperative systems

Multi-Agent Q-Learning with Joint State Value Approximation

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Multi-Agent Q-Learning with Joint State Value Approximation

A System-Theoretic Approach for Epidemic Networks with Time-varying Population

第三十届中国控制会议

作者： CHEN Gang,CAO Weihua,CHEN Xin,WU Min School of Information Science and Engineering,Central South University,Changsha 410083,P.R.China

＜正＞This paper relieves the "curse of dimensionality" problem,which becomes intractable when scaling reinforcement learning to multi-agent *** problem is aggravated exponentially as the number of agents increases,resulting in large memory requirement and slowness in learning *** cooperative systems which are widely existed in multi-agent systems, this paper proposes a new multi-agent Q-learning algorithm based on the decomposing the joint state and joint action learning into two learning processes,which are learning individual action and the maximum value of the joint state *** latter process considers others’ actions to insure the joint action is optimal and supports the updating of the former *** simulation results illustrate that the proposed algorithm can learn the optimal joint behavior with smaller memory and faster speed comparing with Friend-Q learning.

关键词： Multi-agent system Q-learning cooperative systems Curse of dimensionality Decomposition

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A System-Theoretic Approach for Epidemic Networks with Time-...