We introduce a novel concept of simple loop dwell time and use it to give sufficient conditions for stability of a continuous-time linear switched system where switching between subsystems is governed by an underlying graph. We present a slow-fast switching mechanism to ensure stability of the system. We also consider switched systems with both stable and unstable subsystems, and obtain bounds on the dwell time in the stable subsystem and flee time from the unstable subsystem that guarantee the stability of the system.
Convex dwell-time characterizations for uncertain linear impulsive systems
ACCESS Linnaeus Centre, KTH（林奈中心，皇家理工学院）；Swiss Federal Institute of Technology – Zürich (ETH-Z)（苏黎世联邦理工学院）；CNRS, Control Systems Department GIPSA-Lab - INP（法国国家科学研究中心，GIPSA实验室控制系，国立格勒诺布尔理工学院）
Uniform Exponential Stability Analysis of Impulsive Linear Time-Invariant Systems on Banach and Hilbert Spaces: Non-Coercive and Coercive Stability Conditions
School of Life Sciences, University of Applied Sciences, Muttenz, Switzerland（瑞士穆滕兹应用科学大学生命科学学院）；Department of Engineering, University of Perugia, Perugia, Italy（意大利佩鲁贾大学工程学院）；Université Grenoble Alpes, CNRS, Grenoble INP, GIPSA-lab, Grenoble, France（法国格勒诺布尔阿尔卑斯大学、法国国家科学研究中心、格勒诺布尔理工学院、GIPSA实验室）
