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This paper concerns the establishment of a new stability criterion for networked control systems (NCSs) liable to model uncertainties and time-varying delays. The proposed criterion is an improvement over previous ones, for the employment of a novel delay-fractioning approach and the development of a new Lyapunov-Krasovskii functional (LKF). The analysis incorporates state-of-the-art stability techniques for systems with time-varying delays such as convex optimization technique and piecewise analysis method. Moreover, we consider the derivative character of the NCS' time-varying delay. The analysis is enriched with numerical examples that illustrates the effectiveness of the proposed criterion which outperform state-of-the-art stability criteria in the literature for nominal and uncertain NCSs.