Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. The definition of output-input stability does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. In the spirit of the "input-to-state stability" philosophy, it requires the state and input of the system to be bounded by a suitable function of the output and derivatives of the output, modulo a decaying term depending on initial conditions. The class of output-input stable systems thus defined includes all affine systems in global normal form whose internal dynamics are input-to-state stable and also all left-invertible linear systems whose transmission zeros have negative real parts. As an application,  explain how the new concept enables one to develop a natural extension to nonlinear systems of a basic result from linear adaptive control.
['Daniel Liberzon', 'A.S. Morse', 'Eduardo D. Sontag']
I am writing a research paper on a idea Output-input stability and minimum-phase nonlinear systems
[{"from": "human", "value": "I am writing a research paper on a idea Output-input stability and minimum-phase nonlinear systems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. The definition of output-input stability does not rely on a particular choice of coordinates in which the system takes a normal form or on the computation of zero dynamics. In the spirit of the \"input-to-state stability\" philosophy, it requires the state and input of the system to be bounded by a suitable function of the output and derivatives of the output, modulo a decaying term depending on initial conditions. The class of output-input stable systems thus defined includes all affine systems in global normal form whose internal dynamics are input-to-state stable and also all left-invertible linear systems whose transmission zeros have negative real parts. As an application,  explain how the new concept enables one to develop a natural extension to nonlinear systems of a basic result from linear adaptive control."}]