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In this technical note,we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach.The proposed analysis,owing to the candidate LK functional and tighter bounding of its time-derivative,yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively.The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.
In this technical note, we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach. Proposed solution, due. to the candidate LK functional and tighter bounding of its time-derivative, yield less conservative absolute and robust stability criteria for nominal and uncertain systems respectively. the effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.