Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider controlled invariance for cones, translated cones, polyhedra and various special polyhedral structures. For any polyhedron, if controlled invariance occurs, then all and nothing but the admissible controls can be obtained by an inequative feedback controller. For each special polyhedral structure  compare this feedback controller against piecewise affine, linear and affine feedback controllers.
["Paolo d'Alessandro", 'E. De Santis']
I am writing a research paper on a idea Controlled invariance and feedback laws
[{"from": "human", "value": "I am writing a research paper on a idea Controlled invariance and feedback laws"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider controlled invariance for cones, translated cones, polyhedra and various special polyhedral structures. For any polyhedron, if controlled invariance occurs, then all and nothing but the admissible controls can be obtained by an inequative feedback controller. For each special polyhedral structure  compare this feedback controller against piecewise affine, linear and affine feedback controllers."}]