2011/12/30 by Josep Ferrer, M. Dolors Magret, Ferrer, Josep +7
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems #math.DS
paper · pdf · doi:10.48550/arxiv.1201.0113
18 pages, 3 figures
arxiv created 2011/12/30 · openalex publication_date 2011/12/30 · arxiv updated 2012/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the set of bimodal linear systems consisting of two linear dynamics acting on each side of a given hyperplane, assuming continuity along the separating hyperplane. Focusing on the unobservable planar ones, we obtain a simple explicit characterization of controllability. Moreover, we apply the canonical forms of these systems depending on two state variables to obtain explicitly miniversal deformations, to illustrate bifurcation diagrams and to prove that the unobservable controllable systems are stabilizable. Preprint of an article submitted for consideration in IJBC ©2011 copyright World Scientific Publishing Company http://www.worldscinet.com/ijbc/