Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a boundary control system for a fluid structure interaction model. This system describes the motion of an elastic structure inside a viscous fluid with interaction taking place at the boundary of the structure, and with the possibility of controlling the dynamics from this boundary. Our aim is to construct a real time feedback control based on solution to the Riccati equation.  show that the boundary control problem arising in fluid structure interaction falls in the class of SECS. Once this is accomplished, application of the theory in Lasiecka and Tuffaha (2007) leads to the main result of this paper which is llposedness of Riccati equations and of Riccati feedback synthesis. In addition to the theoretical results, an explicit formulation of the Differential Riccati equation associated with this control system provides a basis for an effective computational treatment of the system under consideration.
['Irena Lasiecka', 'Amjad Tuffaha']
I am writing a research paper on a idea Riccati equations arising in boundary control of fluid structure interactions
[{"from": "human", "value": "I am writing a research paper on a idea Riccati equations arising in boundary control of fluid structure interactions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a boundary control system for a fluid structure interaction model. This system describes the motion of an elastic structure inside a viscous fluid with interaction taking place at the boundary of the structure, and with the possibility of controlling the dynamics from this boundary. Our aim is to construct a real time feedback control based on solution to the Riccati equation.  show that the boundary control problem arising in fluid structure interaction falls in the class of SECS. Once this is accomplished, application of the theory in Lasiecka and Tuffaha (2007) leads to the main result of this paper which is llposedness of Riccati equations and of Riccati feedback synthesis. In addition to the theoretical results, an explicit formulation of the Differential Riccati equation associated with this control system provides a basis for an effective computational treatment of the system under consideration."}]