Abstract
A frequency domain theorem is given for the stability analysis of systems that have several equilibrium states. Under consideration are closed loop systems containing a single instantaneous nonlinearity in an otherwise linear system. A condition is derived, involving the frequency response of the linear part of the system, which guarantees that all bounded solutions approach an equilibrium state, and a geometrical interpretation of the results is found.
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Noldus, E. On the stability of systems having several equilibrium states. Appl. sci. Res. 21, 218–233 (1969). https://doi.org/10.1007/BF00411609
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DOI: https://doi.org/10.1007/BF00411609