Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The problem of computing controllers to enlarge the domain of attraction (DA) of equilibrium points of polynomial systems is considered. In order to deal with such a problem, a technique for computing static nonlinear output feedback controllers, which maximize the largest estimate of the DA (LEDA) induced by a given polynomial Lyapunov function, is proposed. The main contribution of the note is to show that a lor bound of the maximum achievable LEDA and a corresponding controller can be obtained through linear matrix inequality optimizations. Moreover, a necessary condition for tightness of this lor bound is presented, which is also a sufficient condition to establish the tightness of the lor bound of the LEDA for a given controller.
['Graziano Chesi']
I am writing a research paper on a idea Computing output feedback controllers to enlarge the domain of attraction in polynomial systems
[{"from": "human", "value": "I am writing a research paper on a idea Computing output feedback controllers to enlarge the domain of attraction in polynomial systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The problem of computing controllers to enlarge the domain of attraction (DA) of equilibrium points of polynomial systems is considered. In order to deal with such a problem, a technique for computing static nonlinear output feedback controllers, which maximize the largest estimate of the DA (LEDA) induced by a given polynomial Lyapunov function, is proposed. The main contribution of the note is to show that a lor bound of the maximum achievable LEDA and a corresponding controller can be obtained through linear matrix inequality optimizations. Moreover, a necessary condition for tightness of this lor bound is presented, which is also a sufficient condition to establish the tightness of the lor bound of the LEDA for a given controller."}]