Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A linear control system in Hilbert space is considered. An estimate of solutions of the system is carried out for the class of optimal control corresponding to a subsystem with finite number of degrees of freedom. It is proved that the family of controllers considered solves the problem of approximate controllability for the infinite dimensional system.
['Alexander Zuyev']
I am writing a research paper on a idea Approximate controllability and spillover analysis of a class of distributed parameter systems
[{"from": "human", "value": "I am writing a research paper on a idea Approximate controllability and spillover analysis of a class of distributed parameter systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A linear control system in Hilbert space is considered. An estimate of solutions of the system is carried out for the class of optimal control corresponding to a subsystem with finite number of degrees of freedom. It is proved that the family of controllers considered solves the problem of approximate controllability for the infinite dimensional system."}]