This paper proposes methods to handle the problem of delay range stability analysis for a linear coupled differential-difference system (CDDS) with distributed delays subject to dissipative constraints. The model of linear CDDS contains many models of linear delay systems as special cases. A novel Liapunov-Krasovskii functional with non-constant matrix parameters, which are related to the delay value polynomially, is applied to derive stability conditions. By constructing this new functional, sufficient conditions in terms of robust linear matrix inequalities (LMIs) can be derived, which guarantee range stability of a linear CDDS subject to dissipative constraints. To solve the resulting robust LMIs numerically, we apply the technique of sum of squares programming together with matrix relaxations without introducing any potential conservatism to the original robust LMIs. Furthermore, the proposed methods can be extended to solve delay margin estimation problems for a linear CDDS subject to prescribed dissipative constraints. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed methodologies.
Delay-Robust Primal-Dual Dynamics for Distributed Optimization
Brandenburg University of Technology Cottbus-Senftenberg（勃兰登堡工业大学科特布斯-森夫滕贝格分校）；Istanbul Technical University（伊斯坦布尔理工大学）；Fraunhofer IEG, Fraunhofer Research Institution for Energy Infrastructures and Geotechnologies IEG（弗劳恩霍夫能源基础设施和岩土技术研究所）
Delay-Robustness in Distributed Control of Timed Discrete-Event Systems Based on Supervisor Localization
School of Automation, Northwestern Polytechnical University（西北工业大学自动化学院）；Urban Research Plaza, Osaka City University（大阪市立大学城市研究广场）；School of Electrical Engineering, Xi¡¯an Jiaotong University（西安交通大学电气工程学院）；Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto（多伦多大学电气与计算机工程系系统控制组）
Passivity-Based Distributed Optimization with Communication Delays Using PI Consensus Algorithm
School of Engineering, Tokyo Institute of Technology（东京工业大学工学院）；Department of Mechanical Engineering, University of Maryland, College Park（马里兰大学帕克分校机械工程系）；School of Engineering and Applied Sciences, Harvard University（哈佛大学工程与应用科学学院）
Distributed Supervisory Control of Discrete-Event Systems with Communication Delay
School of Automation, Northwestern Polytechnical University（西北工业大学自动化学院）；Urban Research Plaza, Osaka City University（大阪市立大学城市研究广场）；School of Electrical Engineering, Xi¡¯an Jiaotong University（西安交通大学电气工程学院）；Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto（多伦多大学电气与计算机工程系系统控制组）
Time-Delay Systems with Discrete and Distributed delays: Discontinuous Initial Conditions and Reachability Sets
International Center for Systems and Information Science (CIFASIS), CONICET–UNR（国际系统与信息科学中心（CIFASIS），CONICET-罗萨里奥国立大学）；Facultad de Ingeniería, Universidad de Buenos Aires（布宜诺斯艾利斯大学工程学院）
