Abstract

In this paper, we provide a new delay-dependent stabilization scheme for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterizations for proportional-integral-derivative (PID) feedback stabilization is establish in terms of feasibility-testing of linear matrix inequalities (LMIs). A numerical example is provided to illustrate the theoretical developments.

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