Stability analysis for continuous-time planar linear systems with state saturation

This paper concerns the problem of stability analysis for a class of continuous-time planar linear systems with state saturation. Both full state saturation and partial state saturation are considered. The effect of state saturation on stability issue is first analyzed, based on which, necessary and sufficient conditions for continuous-time planar linear system with full or partial state saturation to be global asymptotic stable are given. These conditions are easy to check numerically.