Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  investigate the problem of absolute stability and robust stability for a class of Lur'e systems with interval time-delay using Lyapunov-Krasovskii functional approach. By constructing a candidate Lyapunov-Krasovskii (LK) functional, delay-range-dependent stability criteria are developed for nominal and uncertain Lur'e systems in terms of linear matrix inequalities. For deriving robust stability conditions, time-varying norm-bounded uncertainties are considered in the system matrices. Conservatism in the proposed delay-dependent stability analysis is minimized through the use of a candidate LK functional, and tighter bounding conditions for dealing the cross-terms that emerge from the time-derivative of the functional. Finally, a numerical example is employed to validate the effectiveness of the proposed stability criteria.
['K. Ramakrishnan', 'G. Ray']
I am writing a research paper on a idea Delay-range-dependent stability criteria for Lur'e system with interval time-varying delay
[{"from": "human", "value": "I am writing a research paper on a idea Delay-range-dependent stability criteria for Lur'e system with interval time-varying delay"}, {"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 problem of absolute stability and robust stability for a class of Lur'e systems with interval time-delay using Lyapunov-Krasovskii functional approach. By constructing a candidate Lyapunov-Krasovskii (LK) functional, delay-range-dependent stability criteria are developed for nominal and uncertain Lur'e systems in terms of linear matrix inequalities. For deriving robust stability conditions, time-varying norm-bounded uncertainties are considered in the system matrices. Conservatism in the proposed delay-dependent stability analysis is minimized through the use of a candidate LK functional, and tighter bounding conditions for dealing the cross-terms that emerge from the time-derivative of the functional. Finally, a numerical example is employed to validate the effectiveness of the proposed stability criteria."}]