Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a fairly complete treatment of stability and controllability of piecewise-linear systems defined on a conic partition of   R 2        R    2         . This includes necessary and sufficient conditions for stability and controllability, as ll as establishing that controllability implies stabilizability by piecewise-linear state feedback. A key tool in the approach is the study of the Poincare map.
['Ari Arapostathis', 'Mireille E. Broucke']
I am writing a research paper on a idea Stability and controllability of planar, conewise linear systems
[{"from": "human", "value": "I am writing a research paper on a idea Stability and controllability of planar, conewise linear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a fairly complete treatment of stability and controllability of piecewise-linear systems defined on a conic partition of   R 2        R    2         . This includes necessary and sufficient conditions for stability and controllability, as ll as establishing that controllability implies stabilizability by piecewise-linear state feedback. A key tool in the approach is the study of the Poincare map."}]