Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   use a nonholonomic affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. The class of nonholonomic systems  study in this paper includes, in particular, wheeled-type vehicles, which are important for many robotic locomotion systems.  illustrate our ideas by considering a simple example on a three-dimensional manifold.
['Islam I. Hussein', 'Anthony M. Bloch']
I am writing a research paper on a idea Optimal control of underactuated nonholonomic mechanical systems
[{"from": "human", "value": "I am writing a research paper on a idea Optimal control of underactuated nonholonomic mechanical systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   use a nonholonomic affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. The class of nonholonomic systems  study in this paper includes, in particular, wheeled-type vehicles, which are important for many robotic locomotion systems.  illustrate our ideas by considering a simple example on a three-dimensional manifold."}]