Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider controlled systems and differential inclusions on a bounded time interval. The investigated problem brings the controlled system to a fixed compact target set in the phase space at a finite time moment. It is known that integral funnels of controlled systems and differential inclusions satisfy the invariance property.  discuss application of the invariance property to constructing approximations to integral funnels. Examples of nonlinear controlled systems are considered in which the proposed algorithm is realized.
['V. N. Ushakov', 'S. A. Brykalov', 'Alexander R. Matviychuk', 'Andrey V. Ushakov']
I am writing a research paper on a idea INVARIANCE PROPERTY WITH APPLICATION TO SOLVING CONTROL PROBLEMS
[{"from": "human", "value": "I am writing a research paper on a idea INVARIANCE PROPERTY WITH APPLICATION TO SOLVING CONTROL PROBLEMS"}, {"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 systems and differential inclusions on a bounded time interval. The investigated problem brings the controlled system to a fixed compact target set in the phase space at a finite time moment. It is known that integral funnels of controlled systems and differential inclusions satisfy the invariance property.  discuss application of the invariance property to constructing approximations to integral funnels. Examples of nonlinear controlled systems are considered in which the proposed algorithm is realized."}]