Namdar, DaniyalÖzgüler, Arif Bülent2024-03-222024-03-222023-04-240142-33121477-0369https://hdl.handle.net/11693/115083A planar (2D) conewise linear system (CLS) is considered. This is a piecewise linear system of two states and multiple modes, where each mode is linear with its state-space constrained into a polyhedral, finitely generated, convex cone. It is allowed to have a discontinuous vector field and sliding modes. Alternative conditions for well-posedness of Caratheodory solutions of this system that have intuitive interpretations with respect to eigenvectors and cone-boundary vectors are derived. It is also shown that a well-known condition for well-posedness of bimodal systems also applies to two adjacent modes of this system without any change.en-USCC BY 4.0 Deed (Attribution 4.0 International)https://creativecommons.org/licenses/by/4.0/Linear systemsPiecewise-continuousConewiseSwitched systemsWell-posednessStabilityArticle10.1177/01423312231162718