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Stability criteria for linear systems with multiple time-varying delays

控制理论与应用（英文版） 2003年第1期1卷 65-69页

作者： Bugong XU(Laboratory of Real-time Control Through Internet and Fieldbuses, College of Automation Science and Engineering, South China University of Technology, Guangzhou Guangdong 510640, China) Laboratory of Real-time Control Through Internet and Fieldbuses College of Automation Science and EngineeringSouth China University of Technology Guangzhou Guangdong 510640 China

New delay-independent and delay-dependent stability criteria for linear systems with multiple time-varying delays are established by using the time-domain method. The results are derived based on a new-type stability theorem for general retarded dynamical systems and new analysis techniques developed in the author's previous work. Unlike some results in the literature, all of the established results do not depend on the derivative of time-varying delays. Therefore, they are suitable for the case with very fast time-varying delays. In addition, some remarks are also given to explain the obtained results and to point out the limitations of the previous results in the literature. Keywords Stability - delay-independent criteria - delay-dependent criteria - linear time-delay systems - Multiple time-varying delays This work was supported by NSFC Key-Project (No. 60334010) and Guangdong Province Natural Science Foundation of China (No. 31406).

关键词： Stability delay-independent criteria delay-dependent criteria linear time-delay systems Multiple time-varying delays

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Containment control for heterogeneous multi-agent systems with time delay via an output regulation approach

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Journal of Measurement Science and Instrumentation 2022年第1期13卷 79-88页

作者： WEI Wenjun LÜJiahui Huang Julong GE Junde School of Automation and Electrical Engineering Lanzhou Jiaotong University Lanzhou 730070 China Key Lab of Opti-Electronic Technology and Intelligent Control of Ministry of Education Lanzhou Jiaotong University Lanzhou 730070 China China Energy Engineering Group Gansu Electric Power Design Institute Co. Ltd. Lanzhou 730050 China

This paper presents the containment analysis and design of heterogeneous linear multi-agent systems(MAS)with time-delay under the output *** leaders are treated as exosystems and an modified output regulation error is designed,which can deal with more than one leader in containment control,then the containment problem will be turned into an output regulation problem.A novel analysis framework of the output regulation is proposed to design a dynamic state feedback control law for containment error and distributed observer when the agents cannot receive external system signal,which guarantees the convergence of all follower agents to the dynamic convex hull spanned by the *** system stability for time-delay containment is proved by the output regulation method instead of the Lyapunov ***,a numerical example is given to illustrate the validity of the theoretical results.

关键词： heterogeneous multi-agent systems output regulation linear time-delay systems containment control

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