Abstract
This paper investigates the stability analysis issue of time-varying delay systems via a novel reciprocally convex inequality lemma(RCIL). First, a novel reciprocally convex combination method is proposed by introducing a matrix-valued polynomial. Some previous methods are encompassed in the proposed method as special examples. Then, a newly asymmetric Lyapunov-Krasovskii(L-K) functional is presented via introducing some delay-product terms, which develop additional delay convexity information. Moreover, the proposed L-K functional and RCIL are amalgamated to develop new stability conditions. Finally, numerical examples and simulation experiments show the advancement of the proposed method.
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