2021/09/09 by Swapnil Tripathi, Nikita Agarwal, Tripathi, Swapnil +1
Engineering · Mathematics · #37N35 (Primary) #93C05 #93D20 (Secondary) #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Computer science #Control (management) #Control theory (sociology) #Dwell time #Dynamical Systems (math.DS) #Eigenvalues and eigenvectors #Exponential stability #FOS: Mathematics #Function (biology) #Geometry #Linear system #Mathematical analysis #Mathematics #Nonlinear system #Physics #Planar #Scaling #Stability (learning theory) #Stability and Control of Uncertain Systems #Upper and lower bounds #math.DS #msc:37N35 #msc:93C05 #msc:93D20
paper · pdf · doi:10.48550/arxiv.2109.04201
arxiv created 2021/09/09 · openalex publication_date 2021/09/09 · arxiv updated 2021/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider bimodal planar switched linear systems and obtain dwell time bounds which guarantee their asymptotic stability. The dwell time bound obtained is a smooth function of the eigenvectors and eigenvalues of the subsystem matrices. An optimal scaling of the eigenvectors is used to strengthen the dwell time bound. A comparison of our bounds with the dwell time bounds in the existing literature is also presented.