Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: There are several notions of output stability that are intrinsically different.  present in this work a Lyapunov characterization for the so called robust output Lagrange stability for nonlinear delay systems. This output stability property requires that the overshoots of the output variables be bounded by the magnitudes of their initial values. As in the case for systems without delays, it is expected that the results in this work will lead to equivalent Lyapunov characterizations for several input-to-output stability properties. Furthermore, for delay systems, the notion of Lyapunov functions extends to Lyapunov-Krasovskii functionals, and some new features arise in the decay estimations of these functionals. In this work our objective is to provide equivalent Lyapunov descriptions for robust output Lagrange stability in terms of different types of decay estimations.
['Hasala Gallolu Kankanamalage', 'Yuan Wang']
I am writing a research paper on a idea Lyapunov descriptions of robust output stability for systems with delays
[{"from": "human", "value": "I am writing a research paper on a idea Lyapunov descriptions of robust output stability for systems with delays"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: There are several notions of output stability that are intrinsically different.  present in this work a Lyapunov characterization for the so called robust output Lagrange stability for nonlinear delay systems. This output stability property requires that the overshoots of the output variables be bounded by the magnitudes of their initial values. As in the case for systems without delays, it is expected that the results in this work will lead to equivalent Lyapunov characterizations for several input-to-output stability properties. Furthermore, for delay systems, the notion of Lyapunov functions extends to Lyapunov-Krasovskii functionals, and some new features arise in the decay estimations of these functionals. In this work our objective is to provide equivalent Lyapunov descriptions for robust output Lagrange stability in terms of different types of decay estimations."}]