arxivmath.DSeess.SY2026-07-13
Stability and Bifurcations of Planar Switched Linear and Homogeneous Systems
Ivan O. Shevchenko, Xinzhi Liu
We prove new necessary and sufficient conditions for uniform asymptotic stability under arbitrary switching of two-dimensional switched homogeneous systems with a finite number of subsystems using a worst-case switching analysis. The novelty of our approach is in its explicit nat…