Robust stabilization of uncertain Lur' e-Postnikov systems with state delay
CHEN Wan-Yi
Abstract：Using Lyapunov and a Razumikhin-type method,robust stabilization of uncertain Lur'e-Postnikov systems with delay state is discussed. For uncertain Lur'e-Postnikov system with delay state and with some norm-bounded perturbations, if its coefficient matrices satisfy an algebraic Riccati inequality, then via a linear static and/or dynamic state feedback, quadratic stability for its closed-loop system is guaranteed. Also, using a Razumikhin-type appraoch, a sufficient condition is given for the stabilization of a class of uncertain nonlinear systems with time-varying delay.
Keywords：uncertain Lur'e-Postnikov systemsrobust stabilizationRiccati equation/inequalitytime-delay
Publication Date：2003-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：3( 258-260 )