works on
bifurcation theory 1homogeneous systems 1Lyapunov methods 1planar systems 1stability analysis 1switched systems 1

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1 paper

math.DS2026

Stability and Bifurcations of Planar Switched Linear and Homogeneous Systems

Ivan O. Shevchenko, Xinzhi Liu

The paper provides explicit necessary and sufficient conditions for uniform asymptotic stability of two‑dimensional switched homogeneous systems under arbitrary switching, and uses…