2015/07/06 by Sergey Dashkovskiy, Dashkovskiy, Sergey, Petro Feketa +1
Engineering · Mathematics · #34K34 #93C30 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Stability and Control of Uncertain Systems #Stability and Controllability of Differential Equations #math.DS #msc:34K34 #msc:93C30
paper · pdf · doi:10.48550/arxiv.1507.01382
openalex publication_date 2015/07/06 · arxiv created 2016/09/29 · arxiv updated 2016/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables solution to be prolonged after reaching its Zeno time is developed. It allows for a comprehensive stability analysis and asymptotic behavior characterization of such solutions. The results are applicable to a wide class of hybrid systems and match with practical experience of simulation of real-world phenomena. Moreover they are potentially useful for applications to interconnections of hybrid systems.