On the stability of systems having several equilibrium states |
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Authors: | E Noldus |
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Institution: | (1) Laboratory DE WINNE for Control Theory, University of Ghent, Ghent, Belgium |
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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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