A nonlinear hinged extensible elastic body equation with strong structural damping and Balakrishnan-Taylor damping of full exponent is studied as a general model for large space structures of higher dimensions.In this...A nonlinear hinged extensible elastic body equation with strong structural damping and Balakrishnan-Taylor damping of full exponent is studied as a general model for large space structures of higher dimensions.In this paper, the absorbing sets and fiat inertial manifold are obtained for this nonlinear body equation.The control spillover problem associated with the stabilization of this equation is resolved by constructing a linear finite dimensional feedback control based on the existence of inertial manifolds of the uncontrolled equation. Moreover, the results obtained are robust with respect to the uncertainty in structural parameters.展开更多
基金Supported by the National Natural Science Foundation of China(No.19701023)
文摘A nonlinear hinged extensible elastic body equation with strong structural damping and Balakrishnan-Taylor damping of full exponent is studied as a general model for large space structures of higher dimensions.In this paper, the absorbing sets and fiat inertial manifold are obtained for this nonlinear body equation.The control spillover problem associated with the stabilization of this equation is resolved by constructing a linear finite dimensional feedback control based on the existence of inertial manifolds of the uncontrolled equation. Moreover, the results obtained are robust with respect to the uncertainty in structural parameters.
