Automatic locking of a parametrically resonating, base-excited, nonlinear beam
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DOI: 10.1007/s11071-021-06854-w
Abstract: Described is a closed-loop control scheme capable of stabilizing a parametrically excited nonlinear structure in several vibration modes. By setting the relative phase between the spatially filtered response and the excitation, the open-loop unstable solution… read more here.
Keywords: parametrically resonating; resonating base; base; locking parametrically ... See more keywords
Nonanticipating Lyapunov Functions for Persistently Excited Nonlinear Systems
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DOI: 10.1109/tac.2019.2940139
Abstract: Persistently excited nonlinear time-varying systems are considered in this paper. Two new quadratic, time-varying, Lyapunov functions are presented, whose time-varying matrices—solutions to suitable linear time-varying matrix differential equations—are causal (nonanticipating) and, thus, differently from related… read more here.
Keywords: persistently excited; time varying; nonanticipating lyapunov; excited nonlinear ... See more keywords