... rotors is investigated. Here, the nonlinear equations-of-motion of the twin-rotor/ABD system are derived and the asymptotic stability about the balanced condition is determined via a perturbation and floquet analysis. It is found that for the case of co-rotating rotors, automatic balancing is only...

.... Also, they illustrate that tracking errors and the vibration amplitude are decreased versus time by the fast exponential stabilizing control law compared with an asymptotic stabilizing control law. The derivative of the Lyapunov functional with respect to time is 11 V ̇ ( t ) = ρ...

... building seismology vibrations adaptive control uncertain systems nonlinear control systems control system synthesis asymptotic stability closed loop systems vibration isolation adaptive control backstepping hysteresis base isolated systems stability In this paper, we develop two...

...M. Tadi This note considers the stability of linear time varying second order systems. It studies the case where the stiffness matrix is a function of time. It provides sufficient conditions for stability and asymptotic stability of the system provided that certain conditions on the stiffness...

... control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control. Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript...