Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  investigate the minimal realization of nonlinear systems in terms of differential controllability and observability functions, which play important roles in constructing a new balancing method in the contraction framework. It is shown that positivity of these functions, in addition to an incremental stability requirement and a few technical conditions, implies minimality. In doing so, connections are established beten nonlinear accessibility/observability and recently proposed differential balancing method.
['Yu Kawano', 'Jacquelien M.A. Scherpen']
I am writing a research paper on a idea Sufficient condition for minimal realization of incrementally stable nonlinear systems based on differential energy functions
[{"from": "human", "value": "I am writing a research paper on a idea Sufficient condition for minimal realization of incrementally stable nonlinear systems based on differential energy functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  investigate the minimal realization of nonlinear systems in terms of differential controllability and observability functions, which play important roles in constructing a new balancing method in the contraction framework. It is shown that positivity of these functions, in addition to an incremental stability requirement and a few technical conditions, implies minimality. In doing so, connections are established beten nonlinear accessibility/observability and recently proposed differential balancing method."}]