Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: , the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable Lyapunov-Krasovskii functional with indefinite derivative is introduced to derive the ISS of the systems, which generalizes the classic Lyapunov-Krasovskii functional with positive definite derivative. As a result, the uniform stability and uniform asymptotic stability criteria of nonlinear systems with time-delay are also established by employing the proposed Lyapunov-Krasovskii functional.
['Chongyang Ning', 'Yong He', 'Min Wu', 'Shaowu Zhou']
I am writing a research paper on a idea Indefinite derivative Lyapunov-Krasovskii functional method for input to state stability of nonlinear systems with time-delay
[{"from": "human", "value": "I am writing a research paper on a idea Indefinite derivative Lyapunov-Krasovskii functional method for input to state stability of nonlinear systems with time-delay"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: , the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable Lyapunov-Krasovskii functional with indefinite derivative is introduced to derive the ISS of the systems, which generalizes the classic Lyapunov-Krasovskii functional with positive definite derivative. As a result, the uniform stability and uniform asymptotic stability criteria of nonlinear systems with time-delay are also established by employing the proposed Lyapunov-Krasovskii functional."}]